2019”N“xSƒZƒƒXƒ^[



ŒŽ—j“ú15:00 --@ 470†Žº

‹à—j“ú15:00 --@470†Žº


4ŒŽ8“úiŒŽj16:00 --
쓇 –²l -- LKB representations and Reidemeister torsions


4ŒŽ15“úiŒŽj 15:00 --
–]ŒŽ ŒúŽu -- Casson-Walker invariant of 3-manifolds with genus one open book decompositions


4ŒŽ22“úiŒŽj 15:00 --
Daniel Matei -- Computing volumes of cone 3-manifolds


4ŒŽ26“úi‹àj 13:00 --
ó”ö ‘וF -- Magnitude homology of CAT(κ) spaces


5ŒŽ10“úi‹àj 15:00 --
ó”ö ‘וF -- Magnitude homology of CAT(κ) spaces


5ŒŽ20“úiŒŽj 15:00 --
²“¡ ŒºŠî -- Fibrations over simlices and geometric realizations
of families in Homotopy Type Theory


5ŒŽ24“úi‹àj13:00 --
Lecture by Maria de los Angeles Guevara
- Introduction to Khovanov homology and its applications


5ŒŽ27“úiŒŽj 15:00 --
‹g“c ƒ -- Discussion session on categorification of Vassiliev invariants


5ŒŽ31“úi‹àj 15:00 --
“nç³ ‘, ˆÉ“¡ ¸ -- Discussion session on an affine R-matrix and Khovanov homology


6ŒŽ21“úi‹àj 16:00 --
쓇 –²l -- LKB representations and Reidemeister torsions of mapping tori


6ŒŽ24“úiŒŽj 15:00 --
‹g“c ƒ -- Spectral sequence for homology of homotopy algebra I


6ŒŽ28“úi‹àj 17:00 --
ˆÉ“¡ ¸, ‹g“c ƒ -- Discussion session on categorification of Vassiliev invariants


7ŒŽ1“úiŒŽj 15:00 --
‹g“c ƒ -- Spectral sequence for homology of homotopy algebra II


7ŒŽ8“úiŒŽj 15:00 --
ŽáŒŽ x -- Brane coproducts and their applications


7ŒŽ22“úiŒŽj 15:00 --
²“¡ ŒºŠî -- Fibrations over simlices and geometric realizations
of families in Homotopy Type Theory


2018”N“xAƒZƒƒXƒ^[

‘åŠw‰@W’†ƒZƒ~ƒi[ 9ŒŽ15“ú -- 18“ú

Room 117, Graduate School of Mathematical Sciences, the University of Tokyo
“Œ‹ž‘åŠw”—‰ÈŠwŒ¤‹†‰È117u‹`Žº

Program
[Sat, Sep 15]
10:15-11:45 Sergei BURKIN, ƒZƒ‹ƒQƒC ƒuƒ‹ƒLƒ“
Learning from hierarchy via persisitence forests, with applications to graph learning
14:00-15:30 SATO Genki, ²“¡ ŒºŠî
Geometric realization of semisimplicial sets in homotopy type theory
16:00-17:30 LIN Dexie, —Ñ íž™×
Superconnections and relative Chern characters
[Sun, Sep 16]
10:15-11:45 KITAMURA Takuma, –k‘º ‘ñ^
Grothendieck-Teichmüller grouop and its action on knots
14:00-15:30 TANAKA Toshiki, “c’† r‹P
On stability conjecture for Chari-Presseley-Loktev basis of (local) Weyl modules over sl_3[t]
16:00-17:30 Oleksii LEONTIEV, ƒAƒŒƒbƒNƒX ƒŒƒIƒ“ƒ`ƒGƒt
Symmetry breaking operators for the restriction of representations of indefinite orthogonal groups O(p, q)
[Mon, Sep 17]
10:15-11:45 KIM Minkyu Kim, ƒLƒ€ ƒ~ƒ“ƒMƒ…
Dijkgraaf-Witten theory
14:00-15:30 KAKU Soichiro, ‰Á—ˆ @ˆê˜Y
Extension of quandle cocycle invariants to pseudo functors
16:00-17:30 YOSHIDA Jun, ‹g“c ƒ
An operadic approach to involutions and dihedral homology
[Tue, Sep 18]
10:15-11:45 KATO Hiroki, ‰Á“¡‘å‹P
On l-independence of trace of monodromy
14:00-15:30 KAWASHIMA Yumehito, 쓇 –²l
A family of representations of mapping class groups

Titles and Abstracts

2018”N“xAƒZƒƒXƒ^[‘åŠw‰@ƒZƒ~ƒi[

ŒŽ—j“ú15:00 --@ 470†Žº

‹à—j“ú15:00 --@470†Žº


10ŒŽ1“úiŒŽj16:00 --
•Ÿ›¸ãÄ‘¾ -- Pseudodifferential operators in non-compact spaces


10ŒŽ12“úi‹àj 15:00 --
Sergei Burkin -- Persisitence forests


10ŒŽ22“úiŒŽj16:30 --
‰Á—ˆ @ˆê˜Y -- Calculation of pseudo functors for 2-category of braid cobordisms with quandle colorings


10ŒŽ26“úi‹àj16:30 --
‹g“c ƒ -- Crossed ∞-groups


10ŒŽ29“úiŒŽj16:30 --
²“¡ ŒºŠî -- On a simpler construction of the geometric realization in HoTT


11ŒŽ9“úi‹àj15:00 --
Special lecture by Daniel Matei
Title: Volumes of knot and link cone-manifolds
Abstract: I will discuss geometric structures on cone-manifolds associated to
knots and links in the 3-sphere and I will outline a method to compute their volumes.


11ŒŽ12“úiŒŽj15:00 --
Discussion session on category from operads


11ŒŽ19“úiŒŽj15:00 --
‰Á—ˆ @ˆê˜Y -- Pseudo functors for 2-category of braid cobordisms with quandle colorings


11ŒŽ26“úiŒŽj15:00 --
ˆÉ“¡ ¸ -- On the degree three case of Goussarov-Polyak-Viro Conjecture of knots


12ŒŽ3“úiŒŽj15:00 --
‰Á—ˆ @ˆê˜Y -- Pseudo functors for 2-category of braid cobordisms with quandle colorings


12ŒŽ7“úi‹àj16:30 --
Discussion session on categorification of Vassiliev invariants (led by Noboru Ito)


12ŒŽ14“úi‹àj16:30 --
²“¡ ŒºŠî -- Geometric realization of simplicial sets in HoTT


1ŒŽ28“úiŒŽj15:00 --
ó”ö ‘וF -- Magnitude homology


1ŒŽ31“úi–Øj17:00 --
‰Á—ˆ @ˆê˜Y -- Presentation of master thesis


2018”N“xSƒZƒƒXƒ^[



ŒŽ—j“ú15:00 --@ 470†Žº

‹à—j“ú15:00 --@470†Žº


4ŒŽ6“úi‹àj17:00 --
ó”ö ‘וF -- Orbifold string topology


4ŒŽ9“úiŒŽj‹g“c ƒ -- Crossed interval groups and multi-categories


4ŒŽ13“úi‹àj²“¡ ŒºŠî -- Homotopy type theory


4ŒŽ16“úiŒŽjSergei Burkin -- Topolocal data analysis and machine learning


4ŒŽ23“úiŒŽj쓇 –²l -- Dilatation of pseudo-Anosov braids and fixed point theory


4ŒŽ27“úi‹àj‹g“c ƒ -- Crossed interval groups and multi-categories


5ŒŽ7“úiŒŽj‰Á—ˆ @ˆê˜Y -- Quandle colored surface braids


5ŒŽ25“úi‹àj16:40 --
Minkyu Kim -- A K-theoretical Dijkgraaf-Witten theory


5ŒŽ28“úiŒŽj–k‘º ‘ñ^ -- Drinfeld associator


6ŒŽ1“úi‹àj‹g“c ƒ -- Categories of operators of multi-categories with symmtries


6ŒŽ18“úiŒŽj²“¡ ŒºŠî -- Geometric realization in HoTT


6ŒŽ22“úi‹àj‹g“c ƒ -- Symmetries on algebras and Hochschild homology in view of categories of operators


6ŒŽ25“úiŒŽj‰Á—ˆ @ˆê˜Y -- Quandle colored surface braids


7ŒŽ2“úiŒŽj16:00 --
쓇 –²l -- Dilatation of pseudo-Anosov braids and fixed point theory


7ŒŽ6“úi‹àjMinkyu Kim -- A K-theoretical Dijkgraaf-Witten theory


2017”N“xAƒZƒƒXƒ^[

‘åŠw‰@W’†ƒZƒ~ƒi[ 9ŒŽ19“ú -- 21“ú, 23“ú, 25“ú
ƒvƒƒOƒ‰ƒ€


ŒŽ—j“ú15:00 --@ 156†Žº

‹à—j“ú15:00 --@ 156†Žº


10ŒŽ2“ú@iŒŽj ‹g“c ƒ -- Crossed groups and symmetries on monoidal categories


10ŒŽ6“ú@i‹àj 13:00-
–k‘º ‘ñ^ -- Drinfeld associators


10ŒŽ13“ú@i‹àj 17:00-
‰Á—ˆ @ˆê˜Y -- Braid cobordisms and 2-categories


10ŒŽ20“ú@i‹àj 13:00- Room 154
²“¡ ŒºŠî -- Homotopy type theory


10ŒŽ27“ú@i‹àj ‹Ê”ö ‘ôŽ¡ -- Half density quantization of the moduli space of flat connections


11ŒŽ6“ú@iŒŽj –k‘º ‘ñ^ -- Drinfeld associators


11ŒŽ10“ú@i‹àj ‰Á—ˆ @ˆê˜Y -- Representations of the 2-categories of quandle colored braid cobordisms


11ŒŽ13“ú@iŒŽj Sergei Burkin -- Non-commutative probability theory


11ŒŽ20“ú@iŒŽj ‹g“c ƒ -- Crossed interval groups and multi-categories


11ŒŽ24“ú@i‹àj 17:00 --
‹Ê”ö ‘ôŽ¡ -- Real polarization of the moduli space of flat connections


11ŒŽ27“ú@iŒŽj –k‘º ‘ñ^ -- Kontsevich integrals and Drinfeld associators


12ŒŽ1“ú@i‹àj10:00 - Room 156
Sergei Burkin -- Non-commutative probability theory


12ŒŽ4“ú@iŒŽj Adrian Jimenez Pascual -- Adequacy and crossing numbers of satellite knots


12ŒŽ18“ú@iŒŽj 쓇–²l -- Fixed point theory and dilatation


12ŒŽ22“ú@i‹àj ‹Ê”ö ‘ôŽ¡ -- Real polarization of the moduli space of flat SO(3)-connections on surfaces


12ŒŽ25“ú@iŒŽj 쓇 –²l -- Fixed point theory and dilatation


1ŒŽ5“ú@i‹àj 쓇–²l -- A new relationship between the dilatation of pseudo-Anosov braids and fixed point theory


1ŒŽ22“ú@iŒŽj ‹Ê”ö ‘ôŽ¡ -- Real polarization of the moduli space of flat SO(3)-connections on surfaces


1ŒŽ26“ú@i‹àj 17:00-
Sergei Burkin -- Geometric realizations of dendroidal sets


2ŒŽ13“ú@i‰Îj 10:00- Room 126
Arthur Soulié -- Long-Moody constructions

2017”N“xSƒZƒƒXƒ^[



ŒŽ—j“ú16:00 --@ 156†Žº

‹à—j“ú15:00 --@ 156†Žº


4ŒŽ10“ú@iŒŽj ó”ö ‘וF -- Orbifold string topology


4ŒŽ14“ú@i‹àj ²“¡ ŒºŠî -- Homotopy Type Theory


4ŒŽ17“ú@iŒŽj –k‘º ‘ñ^ -- Mordell-Weil theorem


4ŒŽ24“ú@iŒŽj ‰Á—ˆ @ˆê˜Y -- Legendrian knots


5ŒŽ1“ú@iŒŽj Sergei Burkin -- Operads


5ŒŽ8“ú@iŒŽj Adrian Jimenez Pascual -- Adequacy of knots in a solid torus


5ŒŽ12“ú@i‹àj ‹g“c ƒ -- Cobordism hypethesis and graphical calculus


5ŒŽ15“ú@iŒŽj ‹Ê”ö ‘ôŽ¡ -- Bohr-Sommerfeld orbits


5ŒŽ22“ú@iŒŽj –k‘º ‘ñ^ -- Construction of knot invariants


5ŒŽ29“ú@iŒŽj 쓇 –²l -- Fixed point theory and dilatation numbers


6ŒŽ2“ú@i‹àj ‰Á—ˆ @ˆê˜Y -- Khovanov homology


6ŒŽ9“ú@iŒŽj ó”ö ‘וF -- Loop groupoids for orientable orbifolds


6ŒŽ12“ú@iŒŽj Sergei Burkin -- Operads


6ŒŽ19“ú@iŒŽj ‹Ê”ö ‘ôŽ¡ -- Bohr-Sommerfeld orbits


6ŒŽ23“ú@i‹àj 16:00- ‰Á—ˆ @ˆê˜Y -- Khovanov homology and link cobordisms


6ŒŽ26“ú@iŒŽj17:00- –k‘º ‘ñ^ -- Ribbon category


6ŒŽ30“ú@i‹àj ²“¡ ŒºŠî -- Homotopy Type Theory


7ŒŽ10“ú@iŒŽj ‹Ê”ö ‘ôŽ¡ -- Bohr-Sommerfeld orbits


7ŒŽ14“ú@i‹àj Adrian Jimenez Pascual -- Crossing numbers of satellite knots


7ŒŽ24“ú@iŒŽj –k‘º ‘ñ^ -- Ribbon category and quantum groups


7ŒŽ28“ú@i‹àj ‰Á—ˆ @ˆê˜Y -- Category of quandle colored 2-braids

2016”N“xAƒZƒƒXƒ^[

‘åŠw‰@W’†ƒZƒ~ƒi[ 9ŒŽ7“ú -- 9ŒŽ10“ú
ƒvƒƒOƒ‰ƒ€

9ŒŽ23“ú@i‹àj ó”ö ‘וF -- Loop homology of spherical orbifolds


9ŒŽ26“ú@iŒŽj@17:30 -- (FMSP LecturesI—¹Œã)
™ŽR ‘ -- A_infty Koszul dual and Fukaya categories


9ŒŽ30“ú@i‹àj@16:00 --
²“¡ ŒºŠî -- Homotopy type theory and fillability of cubes, simplices and simplex-shaped diagrams


10ŒŽ4“ú@i‰Îj@17:00 --
¬ì ŠG—¢ˆß -- Alexander polynomial of spatial graphs and a generalization of Burau representation


10ŒŽ7“ú@i‹àj@17:00 --
‹Ê”ö ‘ôŽ¡ -- Reduction of symplectic manifolds by Lie group actions


10ŒŽ17“ú@iŒŽj@15:00 --
Ε Š°K -- Non contractible periodic orbits for Hamiltonian equations


10ŒŽ20“ú@i–Øj@15:00 -- 270†Žº
²“¡ ŒºŠî -- Homotopy type theory and fillability of cubes, simplices and simplex-shaped diagrams


10ŒŽ28“ú@i‹àj@15:00 --
¬ì ŠG—¢ˆß -- Alexander polynomial of spatial graphs and a generalization of Burau representation


10ŒŽ31“ú@iŒŽj@15:00 --
Adrian Jimenez Pascual -- Minimal Language Expression


11ŒŽ7“ú@iŒŽj@15:30 --
‹Ê”ö ‘ôŽ¡ -- Lagrangian classical field theory


11ŒŽ14“ú@iŒŽj15:00 --
ó”ö ‘וF -- Loop homology of some global quotient orbifolds


11ŒŽ24“ú@i–Øj@13:00 -- 270†Žº
²“¡ ŒºŠî -- Homotopy type theory and fillability of cubes, simplices and simplex-shaped diagrams


11ŒŽ29“ú@i‰Îj@15:00 -- 056†Žº
‹g“c ƒ -- Graphical calculus on cobordisms


12ŒŽ2“ú@i‹àj@15:00 --
¬ì ŠG—¢ˆß -- Alexander polynomial of spatial graphs and a generalization of Burau representation


12ŒŽ5“ú@iŒŽj@15:00 --
‹Ê”ö ‘ôŽ¡ -- Prequantization and integrability condition


12ŒŽ9“ú@i‹àj@15:00 --
Ε Š°K -- Non contractible periodic orbits for Hamiltonian equations


12ŒŽ12“ú@iŒŽj@16:30 --
쓇 –²l -- A trace formula for the forcing relation of braids


1ŒŽ13“ú@i‹àj@15:00 --
ˆ¢•” ‰‹ó¯ -- 4-cycles of Alexander quandles on finite fields


1ŒŽ23“ú@iŒŽj@15:00 --
CŽm˜_•¶‚Ì“à—e‚Ì”­•\ -- ΕA¬ì


1ŒŽ27“ú@i‹àj@15:00 --
CŽm˜_•¶‚Ì“à—e‚Ì”­•\ -- ó”öA²“¡


1ŒŽ30“ú@iŒŽj@15:00 --
”ŽŽm˜_•¶‚Ì“à—e‚Ì”­•\ -- “¡“à

2016”N“xSƒZƒƒXƒ^[


4ŒŽ15“ú@i‹àj ó”ö ‘וF -- Orbifold string topology


4ŒŽ18“ú@iŒŽj “¡“à ãÄ‘¾ -- CAT(0)-properties of orthoscheme complexes


4ŒŽ22“ú@i‹àj Sergei Burkin -- The theory of operads


4ŒŽ25“ú@iŒŽj ²“¡ ŒºŠî -- Homotopy type theory


5ŒŽ2“ú@iŒŽj ‹g“c ƒ -- Monoidal algebraic theories


5ŒŽ6“ú@i‹àj ‹Ê”ö ‘ôŽ¡ -- Foliations and symplectic reductions


5ŒŽ9“ú@iŒŽj 쓇 –²l -- Nielsen-Thurston classifications of braids


5ŒŽ13“ú@i‹àj ™ŽR ‘ -- A_infty Koszul dual and Fukaya categories


5ŒŽ16“ú@iŒŽj Sergei Burkin -- Cyclic, modular and strong homotopy operads


5ŒŽ23“ú@iŒŽj 17:00 --
ó”ö ‘וF -- Orbifold string topology


5ŒŽ27“ú@i‹àj 17:00 --
‹Ê”ö ‘ôŽ¡ -- Moment maps


5ŒŽ30“ú@iŒŽj ²“¡ ŒºŠî -- Geometric realizations in homotopy type theory


6ŒŽ3“ú@i‹àj “¡“à ãÄ‘¾ -- A representation theorem for locally distributive semi-lattices


6ŒŽ6“ú@iŒŽj Ε Š°K -- Non contractible periodic orbits for Hamiltonian equations


6ŒŽ13“ú@iŒŽj ¬ì ŠG—¢ˆß -- Presentations of knot groups and Fox free differential calculus


6ŒŽ20“ú@iŒŽj ‹Ê”ö ‘ôŽ¡ -- G-equivariant moment maps and affine orbits


6ŒŽ24“ú@i‹àj 13:00 --
²“¡ ŒºŠî -- Path spaces associated with categories in HoTT


6ŒŽ27“ú@iŒŽj 쓇 –²l -- Nielsen-Thurston classification


7ŒŽ1“ú@i‹àj ó”ö ‘וF -- Loop homology of spherical odd orbifolds


7ŒŽ4“ú@iŒŽj 17:00 --
‹g“c ƒ -- Relative Morse theory


7ŒŽ8“ú@i‹àj Ε Š°K -- Existence of non-contractible orbits for Hamiltonian functions
separating two disjoint meridians on tori

7ŒŽ11“ú@iŒŽj “¡“à ãÄ‘¾ -- Orthoscheme complex of locally distributive semilattices


7ŒŽ22“ú@i‹àj ¬ì ŠG—¢ˆß -- Alexander polynomial of spatial graphs and a generalization of Burau representation

2015”N“xAƒZƒƒXƒ^[


9ŒŽ15“ú@i‰Îj ŠÖŒû ~ -- Salvetti complex for relative configuration spaces


9ŒŽ18“ú@i‹àj ²“¡ ŒºŠî -- Homotopy type theory


W’†ƒZƒ~ƒi[
9/19 -- 20 iŠe“ú 10:00 -- 18:00 ) 056†Žº
9/19i“yj 10:00 -- Adrian Jimenez Pascual@13:00 -- ó”ö ‘וF, “¡“à ãÄ‘¾
9/20i“új 10:00 -- ¬ì ŠG—¢ˆß @13:00 -- ‹g“c ƒ, 쓇 –²l, ¼‰º ®O

Adrian Jimenez Pascual, Lassos' wrapping numbers and inversion number
ó”ö ‘וF, Orbifolds
“¡“à ãÄ‘¾, CAT(0) property for orthoscheme complex
¬ì ŠG—¢ˆß, Arf invariants and Jones polynomial
‹g“c ƒ, Morse theory for embedded manifolds and string calculus for pivotal categories
쓇 –²l, Train-tracks for surface homeomorphims
¼‰º ®O, Loop space construction for 2-colored graphs


9ŒŽ22“ú@i‰Îj ™ŽR ‘ -- Tree Koszul algebras and Fukaya categories


9ŒŽ29“ú@i‰Îj Ε Š°K -- Symplectic capacity


10ŒŽ2“ú@i‹àj ‹g“c ƒ -- Morse theory for arrangements


10ŒŽ6“ú@i‰Îj ó”ö ‘וF -- Orbifolds and groupoids


10ŒŽ20“ú@i‰Îj Ε Š°K -- Symplectic capacity and displacement energy


10ŒŽ23“ú@i‹àj ŠÖŒû ~ -- Salvetti complex for relative configuration spaces


10ŒŽ30“ú@i‹àj ¬ì ŠG—¢ˆß -- Rational tangles and applications to biological sciences


11ŒŽ17“ú@i‰Îj ²“¡ ŒºŠî -- Geometric realizations in HoTT


11ŒŽ20“ú@i‹àj ŠÖŒû ~ -- Salvetti complex for relative configuration spaces


11ŒŽ24“ú@i‰Îj ™ŽR ‘ -- Tree Koszul algebras and Fukaya categories


12ŒŽ1“ú@i‰Îj Ε Š°K -- Symplectic Floer homology


12ŒŽ4“ú@i‹àj ó”ö ‘וF -- Transfer principle in model categories


12ŒŽ8“ú@i‰Îj ¬ì ŠG—¢ˆß -- Double branched coverings for 2-bridge knots


12ŒŽ11“ú@i‹àj ŠÖŒû ~ -- Salvetti complex for relative configuration spaces


12ŒŽ15“ú@i‰Îj ²“¡ ŒºŠî -- Geometric realizations in HoTT


12ŒŽ18“ú@i‹àj ¼‰º ®O -- ”ŽŽm˜_•¶‚Ì“à—e‚ɂ‚¢‚Ä


W’†ƒZƒ~ƒi[
1/15 -- 17 iŠe“ú 10:00 -- 17:45) 118†Žº
1/15i‹àj–Ø‘ºA‰Á“¡AΕ
1/16i“yj™ŽRA³–ØAŽáŒŽA–ìè
1/17i“új’ÒA¡–ìAŠÖŒû

–Ø‘º –³ŒÀƒuƒŒƒCƒhŒQ‚ÌŒðŠ·Žq•”•ªŒQã‚Ì‹¤–ð•s•Ïƒmƒ‹ƒ€
‰Á“¡ —ޑ̘_‚Æ”˜_Šô‰½
Ε Spectral invariants and energy capacity inequality

™ŽR On the geometric Koszul dual of directed higher Koszul algebra
³–Ø Skyrmion Dynamics
ŽáŒŽ Description and trivivality of the loop products and coproducts for rational Gorenstein spaces
–ìè The preimage of a knot in $L(p,q)$ under the covering map $S^3 \to L(p,q)$.

’Ò ƒXƒPƒCƒ“‘㔂ɂæ‚é®”3-ƒzƒ‚ƒƒW[‹…–Ê‚Ì•s•Ï—Ê
¡–ì Bound on genus and configurations of embedded surfaces in 4-manifolds
ŠÖŒû ‘Š‘Δz’u‹óŠÔ‚ÌSalvetti•¡‘̂ƃRƒzƒ‚ƒƒW[ŒQ


1ŒŽ22“ú@i‹àj 13:00 -- 15:00 ²“¡ ŒºŠîAŠÖŒû ~ -- CŽm˜_•¶‚Ì“à—e‚Ì”­•\

2015”N“xSƒZƒƒXƒ^[


4ŒŽ7“ú@i‰Îj Adrian Jimenez Pascual -- Lassos' satellites


4ŒŽ10“ú@i‹àj 쓇 –²l -- Homological representations of braid groups


4ŒŽ17“ú@i‹àj “¡“à ãÄ‘¾ -- Orthoscheme complex


4ŒŽ24“ú@i‹àj ¬ì ŠG—¢ˆß -- Conway polynomial


4ŒŽ28“ú@i‰Îj Ε Š°K -- Convexity theorem for moment maps


5ŒŽ1“ú@i‹àj ó”ö ‘וF -- Bordisms and generalized homology


5ŒŽ8“ú@i‹àj ™ŽR ‘ -- Introduction to symplectic geometry - Floer homology, mirror symmetry etc


5ŒŽ19“ú@i‰Îj ²“¡ ŒºŠî -- Homotopy type theory


5ŒŽ22“ú@i‹àj ‹g“c ƒ -- Simplicial categories and homotopy limits


5ŒŽ26“ú@i‰Îj ¬ì ŠG—¢ˆß -- Slice knots and signature


5ŒŽ29“ú@i‹àj Ε Š°K -- Morse homology


6ŒŽ2“ú@i‰Îj ó”ö ‘וF -- Index theorem


6ŒŽ5“ú@i‹àj 쓇 –²l -- Burau representation and Nielsen-Thurston classification of braids


6ŒŽ9“ú@i‰Îj ¼‰º ®O -- Box complex and model structures on the category of graphs


6ŒŽ12“ú@i‹àj ŠÖŒû ~ -- Salvetti complex


6ŒŽ19“ú@i‹àj Ε Š°K -- Morse homology


7ŒŽ7“ú@i‰Îj Adrian Jimenez Pascual -- Wrapping numbers


7ŒŽ10“ú@i‹àj Special lecture by Carlos Moraga Ferrándiz on Morse-Novikov theory

2014”N“x“~ŠwŠú


W’†ƒZƒ~ƒi[
9/19 -- 23 iŠe“ú 10:00 -- 18:00 ) 128†Žº
9/19i‹àj 10:00 -- ¼‰º ®O@13:20 -- Adrian Jimenez Pascual
9/20i“yj 10:00 -- ‹g“c Œšˆê @13:00 -- –ìè —Y‘¾, “c’†—Yˆê˜Y
9/21i“új 10:00 -- Ž›“ˆ ˆè“ñ@13:00 -- ™ŽR ‘, ‹« Œ\ˆê, ó–ì ’mh, ³–Ø—S•ã
9/22iŒŽj 10:00 -- “¡“à ãÄ‘¾@16:20 -- ‹g“cƒ
9/23i‰Îj 10:00 -- 쓇 –²l@13:00 -- ²“¡ ŒºŠî, ŠÖŒû ~, Adrian Jimenez Pascual



¼‰º ®O -- r-neighborhood complex
Adrian Jimenez Pascual -- Differentiating lassos' satellites
‹g“c Œšˆê -- Stable presentation length of 3-manifold groups
–ìè —Y‘¾ -- LMO functor
“c’† —Yˆê˜Y -- Visible actions and harmonic analysis on spherical varieties
Ž›“ˆ ˆè“ñ -- ƒxƒCƒŠƒ“ƒ\ƒ“—Þ‚Ì–¾Ž¦“I‚È\¬
™ŽR ‘ -- ‹È–ÊLefschetz‘©‚ÆFukaya-SeidelŒ—‚ɂ‚¢‚Ä
‹« Œ\ˆê -- Haefliger •s•Ï—Ê‚Ö‚Ì”z’u‹óŠÔÏ•ª‚ð—p‚¢‚½ƒAƒvƒ[ƒ`
ó–ì ’mh -- Correspondence and TQFT
³–Ø —S•ã -- Andreev approximation for inhomogeneous superconductor
“¡“à ãÄ‘¾ -- Frobenius complexes
‹g“c ƒ -- Inj-Skeletons and a new construction of cubical sites
쓇 –²l -- A family of representations of braid groups on surfaces
²“¡ ŒºŠî -- An introduction to homotopy type theory
ŠÖŒû ~ -- Morse-Novikov theory



10ŒŽ10“ú@i‹àj ŠÖŒû ~ -- Morse-Novikov theory


10ŒŽ21“ú@i‰Îj ‹g“c ƒ -- Inj-Skeletons and a new construction of cubical sites


10ŒŽ24“ú@i‹àj ‹g“c ƒ -- Inj-Skeletons and a new construction of cubical sites


10ŒŽ28“ú@i‰Îj Adrian Jimenez Pascual -- Lassos' satellites


10ŒŽ31“ú@i‹àj 18:00 -- Adrian Jimenez Pascual -- Lassos' satellites


11ŒŽ4“ú@i‰Îj ²“¡ ŒºŠî -- Homotopy type theory


11ŒŽ7“ú@i‹àj ‹g“c ƒ -- Inj-Skeletons and a new construction of cubical sites


11ŒŽ11“ú@i‰Îj ŠÖŒû ~ -- Morse-Novikov theory


12ŒŽ2“ú@i‹àj ‹g“c ƒ -- A general method to construct cube-like categories


12ŒŽ9“ú@i‰Îj ŠÖŒû ~ -- Morse theory on Grassmann manifolds


1ŒŽ13“ú@i‰Îj ‹g“c ƒ, Adrian Jimenez Pascual -- CŽm˜_•¶‚Ì”­•\


1ŒŽ16“ú@i‹àj ‹g“c ƒ -- Test categories


1ŒŽ20“ú@i‰Îj ¼‰º ®O --


Categorification•×‹­‰ï

ŒŽ—j“ú@16:30 -- 18:00, 002†Žº

5ŒŽ19“ú (ŒŽ) “y‰ª r‰î -- 2-representations of sl_2

6ŒŽ9“ú (ŒŽ) ‹g“c ƒ -- Higher categories in homotopy theory

7ŒŽ14“ú (ŒŽ) 17:00 --
Adrian Jimenez Pascual -- Khovanov homology

11ŒŽ17“ú (ŒŽ) ¼‰º ®O -- Model category

12ŒŽ8“ú (ŒŽ) “y‰ª r‰î -- Khovanov-Lauda‚ÌЉî

2014”N“x‰ÄŠwŠú


4ŒŽ8“ú@i‰Îj –¾Î •ü‰¹ -- Elliptic cohomology


4ŒŽ15“ú@i‰Îj ‹g“c ƒ -- Categorification


4ŒŽ18“ú@i‹àj Adrian Jimenez Pascual -- Conway polynomial


5ŒŽ2“ú@i‰Îj ¼‰º ®O -- Box complex‚Ì“¯Œ^–â‘è


5ŒŽ9“ú@i‹àj ŠÖŒû ~ -- Morse homology


5ŒŽ13“ú@i‰Îj ²“¡ ŒºŠî -- Vector fields on spheres (after Adams)


5ŒŽ16“ú@i‹àj Adrian Jimenez Pascual -- On lassos


5ŒŽ20“ú@i‰Îj ‹g“c ƒ -- Reedy model structures


5ŒŽ27“ú@i‰Îj ŠÖŒû ~ -- Morse homology


5ŒŽ30“ú@i‹àj ²“¡ ŒºŠî -- Vector fields on spheres (after Adams)


6ŒŽ3“ú@i‰Îj Adrian Jimenez Pascual -- Jones polynomials of satellite knots


6ŒŽ6“ú@i‹àj –¾Î •ü‰¹ -- Algebraic K-theory of the 2-category of 2-vector spaces


6ŒŽ10“ú@i‰Îj u‰‰‰ï Sergei Duzhin (Steklov Institute of Matematics) -- Bipartite knots


6ŒŽ13“ú@i‹àj ŠÖŒû ~ -- Morse homology


6ŒŽ17“ú@i‰Îj ²“¡ ŒºŠî -- Vector fields on spheres (after Adams)


6ŒŽ20“ú@i‹àj ™ŽR ‘ -- Fukaya-Seidel categories of Lefschetz fibrations


7ŒŽ1“ú@i‰Îj “¡“à ãÄ‘¾ -- Frobenius complex


7ŒŽ4“ú@i‹àj –¾Î •ü‰¹ -- Algebraic K-theory of the 2-category of 2-vector spaces


7ŒŽ8“ú@i‰Îj Adrian Jimenez Pascual -- Khovanov homology


7ŒŽ11“ú@i‹àj ‹g“c ƒ -- Yoneda's lemma and Reedy model structures

2013”N“x“~ŠwŠú


W’†ƒZƒ~ƒi[
9/28 -- 30 iŠe“ú 10:00 -- 18:00 ) 470†Žº
9/28i“yj 10:00 -- ¼‰º ®O 13:00 -- ‹g“c ƒ, –¾Î •ü‰¹, Adrian Jimenez Pascual
9/29i“új 10:00 -- “¡“à ãÄ‘¾ 13:00 -- ™ŽR ‘, 쓇 –²l
9/30iŒŽj 10:00 -- ‹g“c Œšˆê 13:00 -- “c’† —Yˆê˜Y, ³–Ø —S•ã


¼‰º ®O -- r-neighborhood complex
‹g“c ƒ -- Homotopy 2-groupoids of Hausdorff spaces
–¾Î •ü‰¹ -- Quillen's theorem on formal group laws
Adrian Jimenez Pascual -- Alexander polynomial of satellite knots
“¡“à ãÄ‘¾ -- Frobenius complex
™ŽR ‘ -- On connecting two almost complex structures with estimate of the Nienhuis tensor
쓇 –²l -- (n+1)-holed sphere‚Ìmapping class group‚ɂ‚¢‚Ä
‹g“c Œšˆê -- 3ŽŸŒ³‘o‹È‘½—l‘Ì‚Ì‘ÌÏ‚ÆŠî–{ŒQ
“c’† —Yˆê˜Y -- Decompositions and representations of Lie groups
³–Ø —S•ã -- ƒgƒ|ƒƒWƒJƒ‹’´“`“±‰Qc’†‚Ì‘©”›€ˆÊ‚ɑ΂·‚é•sƒ•¨Œø‰Ê


10ŒŽ8“ú@i‰Îj –¾Î •ü‰¹ -- Quillen's theorem on formal group laws


10ŒŽ11“ú@i‹àj 쓇 –²l -- (n+1)-holed sphere‚Ìmapping class group‚ɂ‚¢‚Ä


10ŒŽ15“ú@i‰Îj “¡“à ãÄ‘¾ -- Frobenius complex


10ŒŽ18“ú@i‹àj ™ŽR ‘ -- Fukaya-Seidel categories of Lefschetz fibrations


10ŒŽ22“ú@i‰Îj Adrian Jimenez Pascual -- On Lassos


10ŒŽ25“ú@i‹àj ‹g“c ƒ -- Simplicial method in ƒÖ-groupoids


10ŒŽ29“ú@i‰Îj 쓇 –²l -- Linearity of the mapping class groups of surfaces of genus zero with boundary


11ŒŽ1“ú@i‹àj ™ŽR ‘ -- Fukaya-Seidel categories of Lefschetz fibrations


11ŒŽ5“ú@i‰Îj 쓇 –²l -- Linearity of the mapping class groups of surfaces of genus zero with boundary


11ŒŽ8“ú@i‹àj ™ŽR ‘ -- Fukaya-Seidel categories of Lefschetz fibrations


11ŒŽ12“ú@i‰Îj “¡“à ãÄ‘¾ -- Frobenius complex


11ŒŽ19“ú@i‰Îj 쓇 –²l -- Linearity of the mapping class groups of surfaces of genus zero with boundary


11ŒŽ22“ú@i‹àj ™ŽR ‘ -- Fukaya-Seidel categories of Lefschetz fibrations


11ŒŽ26“ú@i‰Îj 쓇 –²l -- Linearity of the mapping class groups of surfaces of genus zero with boundary


11ŒŽ29“ú@i‹àj ™ŽR ‘ -- Fukaya-Seidel categories of Lefschetz fibrations


12ŒŽ10“ú@i‰Îj ‹g“c ƒ -- The homotopy hypothesis on algebraic Kan complex


12ŒŽ13“ú@i‹àj ™ŽR ‘ -- Fukaya-Seidel categories of Lefschetz fibrations


12ŒŽ17“ú@i‰Îj Adrian Jimenez Pascual -- Alexander polynomials of satellite knots


12ŒŽ20“ú@i‹àj –¾Î •ü‰¹ -- elliptic genus


12ŒŽ24“ú@i‰Îj Carlos Moraga Ferrándiz -- s-cobordism theorem and Latour's theorem


1ŒŽ17“ú@i‹àj Presentation of master thesis

2013”N“x‰ÄŠwŠú


4ŒŽ9“ú@i‰Îj 쓇 –²l -- Faithful representation of the Artin group of type B


4ŒŽ12“ú@i‹àj16:00 -- ¼‰º ®O -- r-fundamental groups of graphs


4ŒŽ23“ú@i‰Îj Adrian Jimenez Pascual -- Seifert matrix and Alexander polynomial


4ŒŽ26“ú@i‹àj ‹g“c ƒ -- The geometric realization of a simplicial Hausdorff space is Hausdorff


4ŒŽ30“ú@i‰Îj –¾Î •ü‰¹ -- K groups


5ŒŽ7“ú@i‰Îj 쓇 –²l -- Faithful representation of the Artin group of type B


5ŒŽ10“ú@i‹àj ™ŽR ‘ -- Fukaya categories of Lefschetz fibrations


5ŒŽ21“ú@i‰Îj “¡“à ãÄ‘¾ -- Posets and simplicial complexes


6ŒŽ4“ú@i‰Îj Adrian Jimenez Pascual -- Seifert matrix and Alexander polynomial


6ŒŽ7“ú@i‹àj 쓇 –²l -- Faithful representation of the Artin group of type B


6ŒŽ11“ú@i‰Îj –¾Î •ü‰¹ -- K groups


6ŒŽ14“ú@i‹àj ‹g“c ƒ -- The geometric realization of a simplicial Hausdorff space is Hausdorff


6ŒŽ18“ú@i‰Îj Adrian Jimenez Pascual -- Seifert matrix and Alexander polynomial


6ŒŽ21“ú@i‹àj ™ŽR ‘ -- Fukaya categories for surfaces


7ŒŽ9“ú@i‰Îj 쓇 –²l -- Faithful representation of the Artin group of type B


7ŒŽ12“ú@i‹àj “¡“à ãÄ‘¾ -- Frobenius complex


7ŒŽ23“ú@i‰Îj ™ŽR ‘ -- Fukaya-Seidel categories for Lefschetz fibrations


7ŒŽ26“ú@i‹àj Adrian Jimenez Pascual -- Seifert matrix and Alexander polynomial

2012”N“x“~ŠwŠú


W’†ƒZƒ~ƒi[
9ŒŽ24“ú 10:00 -- 17:00 “¡“àC쓇CAdrian Jimenez Pascual
9ŒŽ25“ú 10:00 -- 16:00 @™ŽRC¼‰º


“¡“à ãÄ‘¾ -- Model categories
쓇 –²l -- Whitehead torsion
Adrian Jimenez Pascual -- Knot polynomials
™ŽR ‘ -- Moduli spaces and transversasity
¼‰º ®O -- Fundamental groups of neighborhood complexes


10ŒŽ2“ú@i‰Îj “¡“à ãÄ‘¾ -- Model category structure on Top


10ŒŽ5“ú@i‹àj “¡“à ãÄ‘¾ -- Model category structure on Top


10ŒŽ9“ú@i‰Îj 쓇 –²l -- Whitehead torsion


10ŒŽ23“ú@i‰Îj ™ŽR ‘ -- Moduli spaces and transversasity


10ŒŽ26“ú@i‹àj ‘Œ’J ‹v–î -- Bott-Chern cohomology (j/w D. Angella)


10ŒŽ30“ú@i‰Îj ¼‰º ®O -- Fundamental groups of neighborhood complexes


11ŒŽ2“ú@i‹àj “¡“à ãÄ‘¾ -- Simplicial methods


11ŒŽ6“ú@i‰Îj 쓇 –²l -- Faithful representations of braid groups


11ŒŽ9“ú@i‹àj ™ŽR ‘ -- Gromov-Witten invariants and quantum cohomology


11ŒŽ19“ú@i‰Îj •“c ~•v -- Homological representations of braid groups and Jones polynomial


12ŒŽ4“ú@i‰Îj ¼‰º ®O -- Fundamental groups of neighborhood complexes


12ŒŽ11“ú@i‰Îj “¡“à ãÄ‘¾ -- Simplicial methods


12ŒŽ14“ú@i‹àj 쓇 –²l -- Faithful representations of braid groups


12ŒŽ18“ú@i‹àj ™ŽR ‘ -- Gromov-Witten invariants and quantum cohomology


1ŒŽ8“ú@i‰Îj ¼‰º ®O -- Fundamental groups of neighborhood complexes


1ŒŽ11“ú@i‹àj •“c ~•v -- Homological representations of braid groups and Jones polynomial


1ŒŽ18“ú@i‹àj ¼‰º ®O, •“c ~•v -- CŽm˜_•¶‚Ì”­•\


2ŒŽ15“ú@i‹àj 쓇 –²l -- Faithful representations of braid groups

2ŒŽ19“ú@i‰Îj “¡“à ãÄ‘¾ -- Lovasz' theorem

2ŒŽ26“ú@i‹àj Adrian Jimenez Pascual -- Seifert matrix and Alexander polynomial

3ŒŽ1“ú@i‰Îj ™ŽR ‘ -- MacDuff's theorem

2012”N“x‰ÄŠwŠú


4ŒŽ10“ú@i‰Îj ƒZƒ~ƒi[ƒƒ“ƒo[‚ÌŽ©ŒÈЉî


4ŒŽ17“ú@i‰Îj ™ŽR ‘ -- Symplectic geometry - Darboux theorem, Hamiltonian flow


4ŒŽ20“ú@i‹àj ¼‰º ®O -- Hom complex and test graphs


4ŒŽ24“ú@i‰Îj “¡“à ãÄ‘¾ -- Category and functors - Yoneda's lemma


5ŒŽ1“ú@i‰Îj 쓇 –²l -- Whitehead torsion


5ŒŽ8“ú@i‰Îj u‰‰‰ï
‹« Œ\ˆê (MB‘åŠw) -- Embedding spaces and string topology
Abstract: There are several similarities between the topology of embedding spaces and that of (free) loop space.
In this talk I will review the similarities, with a focus on "string topology" for embedding spaces.


5ŒŽ15“ú@i‰Îj ™ŽR ‘ -- Pseudo holomorphic curves


5ŒŽ18“ú@i‹àj ¼‰º ®O -- Fundamental groups of graphs and chromatic numbers


5ŒŽ29“ú@i‰Îj “¡“à ãÄ‘¾ -- Derived category


6ŒŽ1“ú@i‹àj 쓇 –²l -- Whitehead torsion


6ŒŽ5“ú@i‰Îj ¼‰º ®O -- Fundamental groups of graphs and chromatic numbers


6ŒŽ8“ú@i‹àj 쎺 Œ\Žq (University of Iowa) -- A criterion for tightness


6ŒŽ12“ú@i‰Îj ™ŽR ‘ -- Pseudo holomorphic curves


6ŒŽ29“ú@i‹àj “¡“à ãÄ‘¾ -- Derived category


7ŒŽ10“ú@i‰Îj 쓇 –²l -- Whitehead torsion



2011”N“x“~ŠwŠú


W’†ƒZƒ~ƒi[
9ŒŽ12“ú 10:00 -- 18:00 @ˆÉ“¡, •“c, ´…, ‰Pˆä
9ŒŽ13“ú 10:00 -- 18:00 @‘Œ’J, ⊪, –x–ì, ¼‰º


ˆÉ“¡@Open book foliations I (j/w Keiko Kawamuro)
•“c@Faithful representations of braid groups
´…@Algebraic theory and delooping of free loop spaces
‰Pˆä@On visible L-spaces
‘Œ’J@Dolbeault cohomology of solvmanifolds
–x–ì@Legendrian (m, -n)-torus knot with convex Seifert surface
¼‰º@π*(MU)


10ŒŽ4“ú@i‰Îj ˆÉ“¡“N–ç -- Open book foliations II : new tightness criterion (j/w Keiko Kawamuro)


10ŒŽ25“ú@i‰Îj –x–ì‘ד¿ -- Legendrian (m, -n)-torus knot with convex Seifert surface


10ŒŽ28“ú@i‹àj •“c~•v -- Gassner representations of pure braid groups


11ŒŽ1“ú@i‰Îj ¼‰º®O -- Formal group law


11ŒŽ8“ú@i‰Îj ‰œ“c—²K -- ‘ÎÌ‹óŠÔã‚ÌSL(2,R) ‚̌ŗLì—p‚Æ‹È–ÊŒQ‚Ì•s˜A‘±ì—p‚ÌŠÖŒW‚ɂ‚¢‚Ä


10ŒŽ25“ú@i‰Îj –x–ì‘ד¿ -- Legendrian (m, -n)-torus knot with convex Seifert surface


11ŒŽ15“ú@i‰Îj ´…’´‹M -- Algebraic theory and delooping functor of free loop spaces


12ŒŽ13“ú@i‰Îj ‰Pˆä‘ô–ç@On visible L-spaces and smoothing order on links


12ŒŽ21“ú@i…j ˆÉ“¡“N–ç@LKB representations detect dual Garside length


1ŒŽ6“ú@i‹àj ´…’´‹M -- Algebraic theory and delooping functor of free loop spaces

2011”N“x‰ÄŠwŠú


4ŒŽ12“ú@i‰Îj ˆÉ“¡“N–ç -- Classification of Wada type representations of braid groups


4ŒŽ15“ú@i‹àj ‘Œ’J‹v–î -- Vaisman metrics on solvmanifolds


4ŒŽ19“ú@i‰Îj ‰Pˆä‘ô–ç -- Ozsvath-Szabo invariant of some Seifert manifolds


4ŒŽ26“ú@i‰Îj ¼‰º®O -- Adams spectral sequence


5ŒŽ10“ú@i‰Îj •“c~•v -- Faithfulness of Gassner representations of pure braid groups


5ŒŽ13“ú@i‹àj ´…’´‹M -- String topology via Sullivan chord diagrams


5ŒŽ17“ú@i‰Îj ‰Pˆä‘ô–ç -- Heegaard-Floer homology and examples of L-spaces


5ŒŽ20“ú@i‹àj ¼‰º®O -- Adams spectral sequence


5ŒŽ24“ú@i‰Îj •“c~•v -- Faithfulness of Gassner representations of pure braid groups


5ŒŽ27“ú@i‹àj ⊪—º‘¾ -- String topology for non-simply connected manifolds


6ŒŽ7“ú@i‰Îj ´…’´‹M -- String topology via Sullivan chord diagrams


6ŒŽ10“ú@i‹àj ¼‰º®O -- Adams spectral sequence


6ŒŽ28“ú@i‰Îj –x–ì‘ד¿ -- Negative torus knots and plumbing in S^3


7ŒŽ1“ú@i‹àj ‰Pˆä‘ô–ç -- Examples of L-spaces and gradings


7ŒŽ5“ú@i‰Îj •“c~•v -- Monodromy representations of braid groups


7ŒŽ8“ú@i‹àj ¼‰º®O -- CGWH topology


7ŒŽ12“ú@i‰Îj ˆÉ“¡“N–ç -- Self linking numbers and open book foliations


7ŒŽ19“ú@i‰Îj Philippe Humbert -- Kontsevich integrals for higher genus

2010”N“x“~ŠwŠú


W’†ƒZƒ~ƒi[
10ŒŽ9“ú 10:00 -- 18:00 @–kŽRC‰PˆäC⊪
10ŒŽ10“ú 10:00 -- 18:00 @ˆÉ“¡C–x–ìC•“c
10ŒŽ11“ú 10:00 -- 18:00 @ ‘Œ’JC´…CŒÃì


–kŽR‹M—T -- Homology cylinders of higher order
‰Pˆä‘ô–ç -- Introduction to Heegaard Floer homology
⊪—º‘¾ -- de Rham model for string topology
ˆÉ“¡“N–ç -- An algorithmic approach to Hurwitz equivalences/search problem
–x–ì‘ד¿ -- Legendrian simplicity
•“c~•v -- Faithfulness of Burau representation and Lawrence-Krammer-Bigelow representation
‘Œ’J‹v–î -- Minimal models, formality and hard Lefschetz property of solvmanifolds with local coefficients
´…’´‹M -- Framed n-disks oerad and BV_n-structure
ŒÃì—É -- Convex surface and bypass


10ŒŽ15“ú@i‹àj ‰Pˆä‘ô–ç -- Introduction to Heegaard Floer homology


10ŒŽ19“ú@i‰Îj –x–ì‘ד¿ -- Legendrian simplicity


10ŒŽ22“ú@i‹àj •“c~•v -- Faithfulness of Burau representation and Lawrence-Krammer-Bigelow representation


11ŒŽ2“ú@i‰Îj ´…’´‹M -- Framed n-disks operad and BV_n-structure


11ŒŽ5“ú@i‹àj ‘Œ’J‹v–î -- Minimal models, formality and hard Lefschetz property of solvmanifolds with local coefficients


11ŒŽ16“ú@i‰Îj ‰Pˆä‘ô–ç -- Introduction to Heegaard Floer homology


11ŒŽ22“ú@i‹àj IPMU Komaba Seminar by Tomoo Matsumura


11ŒŽ30“ú@i‰Îj –x–ì‘ד¿ -- Legendrian knots and plumbing


12ŒŽ3“ú@i‹àj •“c~•v -- Faithfulness of Lawrence-Krammer-Bigelow representation


12ŒŽ7“ú@i‰Îj ´…’´‹M -- Operads and BV_n-structure for the homology of free loop spaces


12ŒŽ10“ú@i‹àj ŒÃì—É --


12ŒŽ14“ú@i‰Îj •“c~•v -- Faithfulness of Lawrence-Krammer-Bigelow representation


12ŒŽ17“ú@i‹àj ⊪—º‘¾ -- de Rham model for string topology


1ŒŽ7“ú@i‹àj ˆÉ“¡“N–ç -- Alexander invariants and bi-invariant orderings


1ŒŽ11“ú@i‰Îj ⊪—º‘¾ -- de Rham model for string topology


1ŒŽ14“ú@i‹àj –kŽR‹M—T -- Non-abelian Reidemeister torsion, Morse-Novikov theory and homology cylinders of higher order


1ŒŽ25“ú@i‰Îj ‰Pˆä‘ô–ç --



2010”N“x‰ÄŠwŠú



4ŒŽ13“ú@i‰Îj ˆÉ“¡“N–ç -- The space of left orderings on groups and bounded cohomology


4ŒŽ16“ú@i‹àj ‰Pˆä‘ô–ç -- Heegaard diagrams


4ŒŽ20“ú@i‰Îj ‘Œ’J‹v–î -- Formality and hard Lefschetz properties of aspherical spaces


4ŒŽ23“ú@i‹àj •“c~•v -- Braid groups and Magnus representations


4ŒŽ27“ú@i‰Îj –x–ì‘ד¿ -- Contact geometry and Lagrangian knots


4ŒŽ30“ú@i‹àj ´…’´‹M -- String topology and ring spectra


5ŒŽ7“ú@i‰Îj ŒÃì—É -- Integrable plane fields, Frobenius theorem ...


5ŒŽ11“ú@i‰Îj ‰Pˆä‘ô–ç -- Symmetric products of Riemann surfaces


5ŒŽ14“ú@i‹àj ⊪—º‘¾ -- de Rham model for string topology


5ŒŽ18“ú@i‰Îj –x–ì‘ד¿ -- Invariants of Legendrian knots


5ŒŽ21“ú@i‹àj ´…’´‹M -- String topology and spectra


6ŒŽ1“ú@i‰Îj •“c~•v -- Burau and Gassner representations


6ŒŽ4“ú@i‹àj –kŽR‹M—T -- Homology cylinder and higer Reidemeister torsions


6ŒŽ8“ú@i‰Îj ˆÉ“¡“N–ç -- The space of left orderings on groups


6ŒŽ11“ú@i‹àj ‰Pˆä‘ô–ç -- Heegaard Floer homology


6ŒŽ15“ú@i‰Îj –x–ì‘ד¿ -- Contact geometry


7ŒŽ13“ú@i‰Îj •“c~•v -- Burau and Gassner representations


7ŒŽ16“ú@i‹àj ´…’´‹M -- String topology and spectra

2009”N“x“~ŠwŠú


W’†ƒZƒ~ƒi[
9ŒŽ14“ú 10:00 -- 17:00 ‘Œ’JCˆÉ“¡C–kŽR
9ŒŽ15“ú 10:00 -- 17:00 ŒÃìC–Ø‘ºC‹«


10ŒŽ6“ú@i‰Îj ⊪—º‘¾ -- de Rham model for string topology


10ŒŽ13“ú@i‰Îj ‘Œ’J‹v–î -- Polycyclic groups, algebraic hull and formality


10ŒŽ16“ú@i‹àj ŒÃì—É -- Quamtum invariants after Blanchet et al


10ŒŽ20“ú@i‰Îj ⊪—º‘¾ -- de Rham model for string topology


10ŒŽ23“ú@i‹àj ˆÉ“¡“N–ç -- Finite orbits of Hurwitz actions on braid systems


10ŒŽ27“ú@i‰Îj ‘Œ’J‹v–î -- Polycyclic groups, algebraic hull and formality


10ŒŽ30“ú@i‹àj –kŽR‹M—T -- Non-abelian Reidemeister torsion


11ŒŽ6“ú@i‹àj ŒÃì—É -- Quantum invariants after Blanchet et al


11ŒŽ17“ú@i‰Îj ⊪—º‘¾ -- de Rham model for string topology


11ŒŽ24“ú@i‰Îj ‘Œ’J‹v–î -- Polycyclic groups, algebraic hull and formality


12ŒŽ22“ú@i‹àj ŒÃì—É -- Quantum invariants after Blanchet et al

2009”N“x‰ÄŠwŠú


4ŒŽ17“ú@i‹àj ‘Œ’J‹v–î -- Polycyclic groups and algebraic hull


4ŒŽ21“ú@i‰Îj ⊪—º‘¾ -- de Rham model for string topology


4ŒŽ24“ú@i‹àj ˆÉ“¡“N–ç -- Toward Nielsen-Thurston theory for Garside groups


4ŒŽ28“ú@i‰Îj –kŽR‹M—T -- Non-abelian Reidemeister torsion and Novikov-Morse theory


5ŒŽ1“ú@i‹àj ‘Œ’J‹v–î -- Algebraic hull of polycyclic groups and de Rham homotopy theory


5ŒŽ8“ú@i‹àj Ivan Marin‚³‚ñ‚É‚æ‚éu‰‰‚ðs‚¢‚Ü‚·D


5ŒŽ12“ú@i‰Îj ŒÃì—É -- Braid groups - generators and relations


5ŒŽ15“ú@i‹àj ˆÉ“¡“N–ç -- A new estimate of braid index


5ŒŽ19“ú@i‰Îj ŒÃì—É -- Braid groups and knots


5ŒŽ22“ú@i‹àj ‘Œ’J‹v–î -- Algebraic hull of polycyclic groups and de Rham homotopy theory


6ŒŽ2“ú@i‰Îj ⊪—º‘¾ -- de Rham model for string topology


6ŒŽ5“ú@i‹àj –kŽR‹M—T -- Non-abelian Reidemeister torsion and Novikov-Morse theory


6ŒŽ9“ú@i‰Îj ŒÃì—É -- Braid groups - Alexander theorem


6ŒŽ30“ú@i‰Îj ‘Œ’J‹v–î -- Exponential iterated integrals and solvable completions


7ŒŽ3“ú@i‹àj ⊪—º‘¾ -- de Rham model for string topology


7ŒŽ6“ú@i‰Îj ŒÃì—É -- Markov theorem


7ŒŽ9“ú@i‹àj ⊪—º‘¾ -- de Rham model for string topology


7ŒŽ10“ú@i‹àj –kŽR‹M—T -- Non-abelian Reidemeister torsion and Novikov-Morse theory


7ŒŽ21“ú@i‰Îj ŒÃì—É -- Markov theorem

2008”N“x“~ŠwŠú


10ŒŽ14“ú@i‰Îj ˆÉ“¡“N–ç -- Braid foliations and Dehornoy floor


10ŒŽ17“ú@i‹àj ‘Œ’J‹v–î -- Hodge numbers of nilmanifolds


10ŒŽ21“ú@i‰Îj –kŽR‹M—T -- Dehn surgery formula for SU(2) twisted Alexander invariant


10ŒŽ24“ú@i‹àj ⊪—º‘¾ -- String topology


10ŒŽ28“ú@i‰Îj –Ø‘ºNl -- Knot quandle‚Ì3ŽŸƒzƒ‚ƒƒW[


10ŒŽ31“ú@i‹àj ‘Œ’J‹v–î -- Solvmanifolds


11ŒŽ4“ú@i‰Îj ŽRŒûËŽi -- Variety of repersentations of knot groups


11ŒŽ14“ú@i‹àj ⊪—º‘¾ -- String topology


11ŒŽ25“ú@i‰Îj ˆÉ“¡“N–ç -- Braid foliations and Dehornoy floor


12ŒŽ12“ú@i‹àj –kŽR‹M—T -- Dehn surgery formula for twisted Alexander invariants


12ŒŽ16“ú@i‰Îj ŽRŒûËŽi -- Variety of repersentations of knot groups


12ŒŽ19“ú@i‹àj ‘Œ’J‹v–î -- Solvmanifolds


1ŒŽ20“ú@i‰Îj ˆÉ“¡“N–ç -- Thurston type orderings for braids


1ŒŽ23“ú@i‹àj ‹«Œ\ˆê -- Configuration space integrals and Haefliger invariants


2ŒŽ3“ú@i‰Îj ⊪—º‘¾ -- String topology

2008”N“x‰ÄŠwŠú


4ŒŽ15“ú@i‰Îj “nç²’‰”V -- Kontsevich characteristic classes of unframed disc bundles


4ŒŽ18“ú@i‹àj ˆÉ“¡“N–ç -- Braid ordering and genus of knots


4ŒŽ22“ú@i‰Îj –kŽR‹M—T -- Reidemeister torsion forms on character varieties


4ŒŽ25“ú@i‹àj ⊪—º‘¾ -- Whitehead torsion


5ŒŽ2“ú@i‹àj ‘Œ’J‹v–î -- Harmonic integrals in Kaehler geometry


5ŒŽ9“ú@i‹àj ŠÝ“c^ŒÈ -- Morse theory for path spaces


5ŒŽ13“ú@i‰Îj ˆÉ“¡“N–ç -- Estimating braid orderings


5ŒŽ16“ú@i‹àj ⊪—º‘¾ -- Morse theory, graphs and string topology


5ŒŽ27“ú@i‰Îj ‘Œ’J‹v–î -- Gromov -Witten invariants


6ŒŽ3“ú@i‰Îj –kŽR‹M—T -- Symmetries of SL(2, C) character varieties


6ŒŽ6“ú@i‹àj ŠÝ“c^ŒÈ -- Morse theory for path spaces


6ŒŽ17“ú@i‰Îj ⊪—º‘¾ -- Morse theory, graphs and string topology


6ŒŽ24“ú@i‰Îj ‘Œ’J‹v–î -- Gromov -Witten invariants


6ŒŽ27“ú@i‹àj ˆÉ“¡“N–ç -- Thurston type orderings for braids


7ŒŽ1“ú@i‰Îj ŠÝ“c^ŒÈ -- Bott periodicity


7ŒŽ8“ú@i‰Îj ⊪—º‘¾ -- Morse theory, graphs and string topology


7ŒŽ11“ú@i‰Îj ‘Œ’J‹v–î -- Gromov -Witten invariants


7ŒŽ15“ú@i‰Îj ⊪—º‘¾ -- Morse theory, graphs and string topology



2007”N“x“~ŠwŠú


10ŒŽ9“ú@i‰Îj ˆÉ“¡“N–ç -- A proof of Markov theorem


10ŒŽ12“ú@ i‹àj –kŽR‹M—T -- Knot group‚Ì•\Œ»‹óŠÔ‚Ætwisted Alexander•s•Ï—Ê


10ŒŽ23“ú@i‰Îj –Ø‘ºNl -- Knot quandle‚Ì3ŽŸƒzƒ‚ƒƒW[


10ŒŽ26“ú@i‹àj ‹àŽRO“¹ -- Bloch•s•Ï—Ê‚ÆA‘½€Ž®


11ŒŽ6“ú@i‰Îj ŽR–{Œ°“N -- 2-knots with triple points


11ŒŽ9“ú@i‹àj ˆÉ“¡“N–ç -- Total order for braids and Nielsen-Thurston theory


11ŒŽ20“ú@i‰Îj ŽR–{Œ°“N -- 2-knots with triple points


11ŒŽ27“ú@i‰Îj –kŽR‹M—T -- Knot group‚Ì•\Œ»‹óŠÔ‚Ætwisted Alexander•s•Ï—Ê



12ŒŽ4“ú@i‰Îj –kŽR‹M—T -- Knot group‚Ì•\Œ»‹óŠÔ‚Ætwisted Alexander•s•Ï—Ê


1ŒŽ11“ú@i‹àj –Ø‘ºNl -- Knot quandle‚̃zƒ‚ƒƒW[

2007”N“x‰ÄŠwŠú

4ŒŽ17“ú@i‰Îj ˆÉ“¡“N–ç -- Left invariant total ordering for braids


5ŒŽ1“ú@ i‰Îj ˆÉ“¡“N–ç -- Left invariant total ordering for braids


5ŒŽ8“ú@i‰Îj ‹àŽRO“¹ -- Extended Bloch groups


5ŒŽ15“ú@i‰Îj –kŽR‹M—T -- Rational derived series


5ŒŽ18“ú@i‹àj ŒÜ–¡´‹I -- Twisted K-theory


5ŒŽ29“ú@i‰Îj ˆÉ“¡“N–ç -- Curve diagrams and band generators


6ŒŽ12“ú@i‰Îj ŽR–{Œ°“N -- 2-knots with triple points


6ŒŽ15“ú@i‹àj –kŽR‹M—T -- Rational derived series


6ŒŽ19“ú@i‰Îj ‹àŽRO“¹ -- Extended Bloch groups


7ŒŽ3“ú@i‰Îj –Ø‘ºNl -- Knot quandles


7ŒŽ10“ú@i‰Îj ˆÉ“¡“N–ç --


7ŒŽ13“ú@i‹àj ŒÜ–¡´‹I -- Twisted K-theory


7ŒŽ17“ú@i‰Îj ŽR–{Œ°“N -- Quandle cocycle invariants for 2-knots with triple points


7ŒŽ20“ú@i‹àj ŽRŒûËŽi -- Twisted Alexander invariants



‹ÊŒ´ƒZƒ~ƒi[
9ŒŽ8“ú@14:00 @‚©‚ç@9ŒŽ11“ú 12:00@‚Ü‚Å


2006”N“x“~ŠwŠú


10ŒŽ17“ú@i‰Îj “¡ˆä_ˆê -- Conjugacy classes of fundamental groups and iterated integrals


10ŒŽ20“ú@i‹àj ’Â@’q -- K(\pi , 1) properties of affine type arrangements


10ŒŽ24“ú@i‰Îj ‹«Œ\ˆê -- Poisson structures on the homology of the space of long knots


10ŒŽ27“ú@i‹àj —é–Ø—º•½ -- Khovanov invariants and Rasmussen's s-invariatnts for pretzel knots


10ŒŽ31“ú@i‰Îj –kŽR‹M—T -- Twisted Alexander polynomials


11ŒŽ7“ú@i‰Îj ŽR–{Œ°“N -- Surface knots


11ŒŽ10“ú@i‹àj XŽR“N—T -- Casson type invariants and configuration spaces


11ŒŽ14“ú@i‰Îj Eiko Fukunaga -- Artin irreducibility and reducibility for braids


11ŒŽ17“ú@i‹àj ‹«Œ\ˆê -- Poisson structures on the homology of the space of long knots


12ŒŽ5“ú@i‰Îj ‹àŽRO“¹ -- Genelarized orientations and Bloch groups


12ŒŽ8“ú@i‹àj –kŽR‹M—T -- Twisted Alexander polynomials and sign determined Reidemeister torsions


12ŒŽ12“ú@i‰Îj –Ø‘ºNl -- 2nd cohomology of knot quandles


12ŒŽ15“ú@i‹àj ŽR–{Œ°“N -- Surface knots


1ŒŽ12“ú@i‹àj “¡ˆä_ˆêC—é–Ø—º•½ -- CŽm˜_•¶‚Ì“à—e


1ŒŽ16“ú@i‰Îj ‹«Œ\ˆê -- ”ŽŽm˜_•¶‚Ì“à—e


1ŒŽ19“ú@i‹àj –kŽR‹M—T -- Twisted Alexander polynomials and sign determined Reidemeister torsions



2006”N“x‰ÄŠwŠú


4ŒŽ11“ú@i‰Îj –kŽR‹M—T -- Whitehead torsion and Reidemeister torsion


4ŒŽ14“ú@i‹àj ‹«Œ\ˆê -- Cohomology of the space of knots and loop spaces of configuration spaces


4ŒŽ18“ú@i‰Îj ŽR–{Œ°“N -- Surface knots


4ŒŽ25“ú@i‰Îj ‹g“c®•F -- Twisted toric structures


4ŒŽ28“ú@i‹àj —é–Ø—º•½ -- Khovanov homology


5ŒŽ2“ú@i‰Îj ‹g“c®•F -- Twisted toric structures


5ŒŽ12“ú@i‹àj 17:00 -- –kŽR‹M—T -- Whitehead torsion and Reidemeister torsion


5ŒŽ23“ú@i‰Îj ŽR–{Œ°“N -- Surface knots/braids


5ŒŽ26“ú@i‹àj “¡ˆä_ˆê -- Iteerated integrals and string topology


5ŒŽ30“ú@i‰Îj –Ø‘ºNl -- Quandles and loop braid groups


6ŒŽ6“ú@i‰Îj XŽR“N—T -- A vanishing of Rohlin invariant


6ŒŽ9“ú@i‹àj –kŽR‹M—T -- Twisted Alexander polynomials


6ŒŽ13“úi‰Îj ŽR–{Œ°“N -- Surface knots/braids


6ŒŽ30“ú@i‹àj –kŽR‹M—T -- Novikov homology


7ŒŽ7“úi‹àj ŽR–{Œ°“N -- Surface knots


2005”N“x“~ŠwŠú



10ŒŽ11“ú@i‰Îj ‹«Œ\ˆê -- Cohomology of the space of knots and loop spaces of configuration spaces


10ŒŽ14“ú@i‹àj “¡ˆä_ˆê -- Iterated integrals and the cohomology of free loop spaces


10ŒŽ18“ú@i‰Îj Alexander Stoimenow


10ŒŽ21“ú@i‹àj —é–Ø—º•½ -- Khovanov homology and slice genus


10ŒŽ25“ú@i‰Îj “¡ì‹MŽj -- Garside monoid, CAT(0) groups, ...


10ŒŽ28“ú@i‹àj XŽR“N—T -- Casson invariant and signature


11ŒŽ1“ú@i‰Îj Alexander Stoimenow --


11ŒŽ4“ú@i‹àj “¡ˆä_ˆê -- Iterated integrals and the cohomology of free loop spaces


11ŒŽ11“ú@i‹àj —é–Ø—º•½ -- Khovanov homology and slice genus


11ŒŽ22“ú@i‰Îj ‹àŽRO“¹ --Bloch invariants as characteristic classses


11ŒŽ25“ú@i‹àj Eiko Fukunaga -- Artin reduciblity in braid groups


11ŒŽ29“ú@i‰Îj ”ª“ˆ—ms --@Geometry of algebroid functions


12ŒŽ2“ú@i‹àj “¡ˆä_ˆê -- Iterated integrals and the cohomology of free loop spaces


12ŒŽ13“ú@i‰Îj —é–Ø—º•½ -- Khovanov homology and slice genus


12ŒŽ16“ú@i‹àj –Ø‘ºNl -- Quandles and knot invariants


1ŒŽ17“ú@i‰Îj ”ª“ˆ—ms --@Deligne goupoids and line arrangement


1ŒŽ20“ú@i‹àj “¡ˆä_ˆê -- Iterated integrals and string topology


1ŒŽ24“ú@i‰Îj ‹«Œ\ˆê -- Topology of the space of long knots



2005”N“x‰ÄŠwŠú



4ŒŽ12“ú@i‰Îj “¡ˆä_ˆê -- Applications of Morse theory to loop spaces of Lie groups


4ŒŽ15“ú@i‹àj —é–Ø—º•½ -- Jones polynomial of alternating knots


4ŒŽ19“ú@i‰Îj XŽR“N—T -- Casson type invariants of maps between homology 3-spheres


4ŒŽ22“ú@i‹àj Eiko Fukunaga -- Artin irreducibility of braids


5ŒŽ6“ú@i‹àj “¡ˆä_ˆê -- Applications of Morse theory to loop spaces of Lie groups


5ŒŽ10“ú@i‰Îj ‹«Œ\ˆê -- Cohomology of the space of knots and loop spaces of configuration spaces


5ŒŽ13“ú@i‹àj –Ø‘ºNl -- Knot quandle invariants and framings


5ŒŽ24“ú@i‰Îj “¡ì‹MŽj -- CAT(0) spaces and Gromov hyperbolic spaces


5ŒŽ27“ú@i‹àj —é–Ø—º•½ -- Khovanov homology for knots


6ŒŽ7“ú@i‰Îj ”ª“ˆ—ms -- Geometric embeddings between reflection arrangements


6ŒŽ10“ú@i‹àj XŽR“N—T -- Casson type invariants of maps between homology 3-spheres


6ŒŽ21“ú@i‰Îj “¡ˆä_ˆê -- Cohomology of free loop spaces


6ŒŽ24“ú@i‹àj ŒÜ–¡´‹I -- Central extensions of the gauge transformation groups of higher abelian gerbes


6ŒŽ28“ú@i‰Îj —é–Ø—º•½ -- Khovanov homology for knots


7ŒŽ1“ú@i‹àj ”ª“ˆ—ms -- Geometric embeddings between reflection arrangements


7ŒŽ19“ú@i‰Îj “¡ì‹MŽj -- Garside monoids


7ŒŽ22“ú@i‹àj “¡ˆä_ˆê -- Cohomology of free loop spaces


2004”N“x“~ŠwŠú



10ŒŽ26“ú@i‰Îj “¡ì -- Volume of hyperbolic orthosimplex


11ŒŽ2“ú@i‰Îj ŽR“c -- Iterated integrals and volumes


11ŒŽ5“ú@i‹àj ”¨“c -- Scissors congruences


11ŒŽ12“ú@i‹àj ‹àŽR -- Chern-Simons invariants


11ŒŽ26“ú@i‹àj XŽR -- Embeddings of 3-manifods into 6-manifolds and Casson invariant


11ŒŽ30“ú@i‰Îj ‹àŽR -- Extended Bloch groups and Cheeger-Chern-Simons invariants


12ŒŽ3“ú@i‹àj –Ø‘º -- Quandle coloring of knots in a handlebody


12ŒŽ7“ú@i‰Îj ”ª“ˆ -- Logarithmic vector fields and line arrangements


12ŒŽ10“ú@i‹àj ‹« -- On the space of long knots and loop spaces of configuration spaces


12ŒŽ14“ú@i‰Îj CŽm˜_•¶‚ÉŠÖ‚·‚é‘Å‚¿‡‚킹‚Ì‚½‚߃Zƒ~ƒi[‚Í‹x‚Ý


12ŒŽ17“ú@i‹àj ”ª“ˆ -- Logarithmic vector fields and line arrangements


1ŒŽ18“ú@i‰Îj ‹àŽRC”¨“cCŽR“c@-- C˜_‚Ì“à—e‚ɂ‚¢‚Ä


Seminar Announcement

November 24, December 1, 10:00 -- 12:00 Room 056
January 12, January 26, 10:00 -- 12:00 Room 056

M. Zunino


An Informal Introduction to Modular Categories and Related Topics

(Braided Tensor Categories, TQFTs, Crossed G-categories, HQFTs, and quantum invariants of 3-manifolds)

ABSTRACT: The main goal of this seminar is to provide and introduction to modular categories and their applications in topology. We will start recalling the basic definitions of Braided Tensor Category and Quasitriangular Hopf Algebra, then we will dicscuss Modular Categories and TQFTs. The last part of the seminar will be devoted to Turaev Crossed G-categories, HQFTs and Homotopy invariants of 3-manifolds. The talk is intended to be accessible without any specific preparation in the field.



December 15, 10:00 -- 12:00 Room 056
December 22, 10:00 -- 12:00 Room 122

Toshifumi Tanaka

The colored Jones polynomial of links and skein theory


Abstract: We investigate the N-colored Jones polynomial by skein theory. We calculate the N-colored Jones polynomial of doubled knots . As a corollary, we show that if the volume conjecture for untwisted doubled knots are true, then every nontrivial knot has the nontrivial N-colored Jones polynomial for some odd integer N. We@also give a formula for the N-colored Jones polynomial of an example of a nontrivial 2-component link whose (2-colored) Jones polynomial is equal to that of 2-component trivial link. We show that the formula deffers from that of trivial link. We can plot the value of the colored Jones function of the link by using Mathematica.

2004”N“x‰ÄŠwŠú




4ŒŽ13“ú@i‰Îj ’Â@’q -- A complex computing the homology with local coefficients of the complement of a hyperplane arrangement


4ŒŽ16“ú@i‹àj ŒÜ–¡ -- Equivariant bundle gerbes


4ŒŽ20“ú@i‰Îj “¡ì -- Margulis' lemma


4ŒŽ23“ú@i‹àj ‹x‚Ý


4ŒŽ27“ú@i‰Îj ŽR“c -- Iterated integrals and fundamental groups


5ŒŽ7“ú@i‹àj ‹àŽR -- Chern-Simons invariants


5ŒŽ11“ú@i‰Îj ”¨“c -- Polylogarithms


5ŒŽ14“úA18“ú‚Í‚»‚ꂼ‚ê o’£AW’†u‹`‚Ì‚½‚ß‹x‚Ý


5ŒŽ21“ú@i‹àj “¡ì -- Mostow rigidity


5ŒŽ25“ú@i‰Îj Ÿº‘ò -- Generating mapping class groups by involutions


5ŒŽ28“ú@i‹àj “¡ì -- Mostow rigidity


6ŒŽ11“ú@i‹àj ”¨“c -- Polylogarithms


6ŒŽ15“ú@i‰Îj ŽR“c -- Iterated integrals and fundamental groups


6ŒŽ18“ú@i‹àj “¡ì -- Mostow rigidity, Gromov invariant


6ŒŽ22“ú@i‰Îj ‹àŽR -- Chern-Simons invariants


6ŒŽ25“ú@i‹àj –Ø‘º -- Cohomology of knot quandles


6ŒŽ29“ú@i‰Îj ‹« -- Cohomology of the space of embeddings


7ŒŽ2“ú@i‹àj “¡ì -- Mostow rigidity



2003”N“x“~ŠwŠú
10ŒŽ7“ú@i‰Îj ‹àŽR -- J. Dupont, Scissors congruences ... Chap 5


10ŒŽ10“ú@i‹àj ”ª“ˆ -- Geometric embeddings of reflection arrangements


10ŒŽ14“ú@i‰Îj ŽR“c -- Chen's iterated integrals


10ŒŽ17“ú@i‹àj Žç’J -- Symplectic capacities


10ŒŽ21“ú@i‰Îj ”¨“c -- J. Dupont, Scissors congruences ...


10ŒŽ24“ú@i‹àj –Ø‘º -- Quandle cocycle invariants


10ŒŽ28“ú@i‰Îj ‹àŽR -- J. Dupont, Scissors congruences ...


10ŒŽ31“ú@i‹àj Ÿº‘ò -- Johnson's work on Torelli groups


11ŒŽ4“ú@i‰Îj ŽR“c -- Chen's iterated integrals


11ŒŽ7“ú@i‹àj XŽR -- Casson invariant and signature


11ŒŽ11“ú@i‰Îj ”¨“c -- J. Dupont, Scissors congruences ...


11ŒŽ14“ú@i‹àj •Ÿ‰i -- Nielsen-Thurston theory


11ŒŽ21“ú@i‹àj Žç’J -- Hamiltonian diffeomorphisms and Lagrangian submanifolds


11ŒŽ25“ú@i‰Îj ‹àŽR -- J. Dupont, Scissors congruences ...


11ŒŽ28“ú@i‹àj –Ø‘º -- Quandle cocycle invariants


12ŒŽ2“ú@i‰Îj ŽR“c -- Chen's iterated integrals


12ŒŽ9“ú@i‰Îj ”¨“c -- J. Dupont, Scissors congruences ...


12ŒŽ12“ú@i‹àj ‹« -- Perspectives on order 2 knot invariants


1ŒŽ9“ú@i‹àj •Ÿ‰i -- Nielsen-Thurston theory


1ŒŽ13“ú@i‰Îj ‹àŽR -- J. Dupont, Scissors congruences ...


1ŒŽ16“ú@i‹àj –Ø‘ºCŽç’J -- C˜_‚Ì“à—e‚ɂ‚¢‚Ä


1ŒŽ20“ú@i‰Îj ŽR“c -- Chen's iterated integrals


1ŒŽ27“ú@i‰Îj ”¨“c -- J. Dupont, Scissors congruences ...


2003”N“x‰ÄŠwŠú
4ŒŽ11“ú@i‹àj ‹àŽR -- ‘o‹È‚S–Ê‘Ì‚Ì‘ÌÏCSchlafli‚ÌŒöŽ®‚È‚Ç


4ŒŽ15“ú@i‰Îj ‹g“c -- Symplectic geometry of the moduli space of flat connections on Riemann surfaces


4ŒŽ18“ú@i‹àj ”¨“c -- J. Dupont, Scissors congruences ... Chap 1


4ŒŽ22“ú@i‰Îj ŽR“c -- Chen's iterated integrals


5ŒŽ2“ú@i‹àj ”¨“c -- J. Dupont, Scissors congruences ... Chap 2


5ŒŽ6“ú@i‰Îj ŒÜ–¡ -- Equivariant gerbes


5ŒŽ9“ú@i‹àj ‹àŽR -- J. Dupont, Scissors congruences ... Chap 2,3


5ŒŽ13“ú@i‰Îj ŽR“c -- Chen's iterated integrals


5ŒŽ16“ú@i‹àj ”ª“ˆ -- Flat coordinates, cohomology of Artin groups, ...


5ŒŽ23“ú@i‹àj Žç’J -- Symplectic capacities


6ŒŽ6“ú@i‹àj ”¨“c -- J. Dupont, Scissors congruences ... Chap 4


6ŒŽ17“ú@i‰Îj ‹àŽR -- J. Dupont, Scissors congruences ... Chap 4


6ŒŽ20“ú@i‹àj 13:00 -- ŽR“c -- Chen's iterated integrals


6ŒŽ24“ú@i‰Îj ŒÜ–¡ -- Equivariant Deligne cohomology
6ŒŽ27“ú@i‹àj –Ø‘º -- Quandle cocycle invariants

7ŒŽ1“ú@i‰Îj ‹« -- Cohomology of Imb(S^1, R^n)

7ŒŽ4“ú@i‹àj •Ÿ‰i -- Nielsen-Thurston theory
7ŒŽ8“ú@i‰Îj ”¨“c -- J. Dupont, Scissors congruences ... Chap 5


7ŒŽ11“ú@i‹àj ŽR“c -- Chen's iterated integrals


7ŒŽ15“ú@i‰Îj 17:00 -- ‹g“c -- Symplectic geometry of the moduli space of flat connections on Riemann surfaces

2002”N“x“~ŠwŠú
First meeting and organization
10ŒŽ11“ú@16:30 --- Room 370
Žç’J -- Symplectic geometry, contact homology ...


Seminar on hyperplane arrangements and hypergeometric integrals
Tuesday, Oct. 15, 13:00 -- 14:30, Room 370
Monday, Oct. 21, 13:00 -- 15:00, Room 570

This seminar will take place regulary on Monday afternoon.
10ŒŽ15“ú@
‹g“c -- Symplectic geometry of the moduli of flat bundles


10ŒŽ18“ú@
ЯԼ -- Quandles and invariants of knots


10ŒŽ22“ú@
‹« -- Cohomology of Imb(S^1, R^n)


10ŒŽ25“ú@
‚‘º -- Deformation quantization


10ŒŽ28“ú@
‹g“c -- Symplectic geometry of the moduli of flat bundles


11ŒŽ1“ú@
Žç’J -- Contact homology


11ŒŽ5“ú@
ЯԼ -- Quandles and invariants of knots


11ŒŽ12“ú@
Ž›“ˆ -- Poisson geometry of supermanifolds


11ŒŽ15“ú@
”ª“ˆ -- Coxeter groups and flat coordinates


11ŒŽ19“ú, 22“ú@W’†u‹`‚Ì‚½‚ß‹x‚Ý
11ŒŽ26“ú@
ŒÜ–¡ -- SW version of Chern-Simons Lagrangians


12ŒŽ3“ú@
‹« -- Cohomology of Imb(S^1, R^n)


12ŒŽ6“ú@
ЯԼ -- Quandles and invariants of knots


12ŒŽ13“ú@
”ª“ˆ -- Coxeter groups and flat coordinates


12ŒŽ17“ú@
‹« -- Cohomology of Imb(S^1, R^n)

1ŒŽ28“ú@
‹«C‚‘ºC•Ÿ‰i

2ŒŽ4“ú@
”ª“ˆ
2002”N‰ÄŠwŠú

4ŒŽ23“ú@Žç’J -- Symplectic capacity

5ŒŽ7“ú@–Ø‘º -- Quandles

5ŒŽ10“ú@Žç’J -- Symplectic capacity

5ŒŽ21“ú@‹g“c -- Symplectic geometry of the moduli of parabolic bundles

5ŒŽ24“ú@–Ø‘º -- Quandles

5ŒŽ28“ú@‹« -- Cohomology of Imb(S^1, R^n)

5ŒŽ31“ú@’ -- Arrangement of hyperplanes

6ŒŽ4“ú@–Ø‘º -- Quandles

6ŒŽ7“ú@Žç’J -- Symplectic capacity

6ŒŽ11“ú@‹g“c -- Symplectic geometry of the moduli of parabolic bundles

6ŒŽ7“ú@Gibson -- Transverse knots and divides

6ŒŽ25“ú@Žç’J -- Symplectic capacity

7ŒŽ2“ú@‹« -- Cohomology of Imb(S^1, R^n)

7ŒŽ9“ú@–Ø‘º -- Quandles

7ŒŽ12“ú@”ª“ˆ -- Flat structure on the complement of discriminant

7ŒŽ16“ú@Ž›“ˆ
2001”N“~ŠwŠú
10ŒŽ16“ú@‚‘º -- Deformation quantization


10ŒŽ19“ú@ŒÜ–¡ -- Chern-Simons actions, gerbes, ...


10ŒŽ26“ú@‹«

10ŒŽ30“ú@’Â

11ŒŽ2“ú@”ª“ˆ

11ŒŽ6“ú@‚‘º

11ŒŽ13“ú@’Â

11ŒŽ16“ú@‹g“c

11ŒŽ20“ú@William Gibson

11ŒŽ27“ú@‚‘º

11ŒŽ30“ú@‹g“c

12ŒŽ3“ú‚ÌT‚ÍW’†u‹`‚Ì‚½‚ß‹x‚Ý 2001”N‰ÄŠwŠú

4ŒŽ13“ú@ŒÜ–¡ -- Chern-Simons action


4ŒŽ17“ú@‹« -- Jones polynomial


5ŒŽ8“ú@‚‘º -- Deformation quantization


5ŒŽ11“ú@”ª“ˆ -- Cohomology of configuration spaces


5ŒŽ15“ú@’ -- LK representaitons of braid groups


5ŒŽ18“ú@ŒÜ–¡ -- Chern-Simons action


5ŒŽ29“ú@‹g“c -- BRST cohomology


6ŒŽ12“ú@‹« -- Topology of knot space


6ŒŽ15“ú@ŒÜ–¡-- Gerbes


6ŒŽ19“ú@Ž›“ˆ -- Transports of A infinity algebras


6ŒŽ22“ú@‹« -- Topology of knot space


6ŒŽ26“ú@’ -- LK representaitons of braid groups


6ŒŽ30“ú@”ª“ˆ -- Cohomology of configuration spaces


7ŒŽ3“ú@ŒÜ–¡ -- Characteristic classes of gerbes


7ŒŽ6“ú@쑺 -- Graph devides


7ŒŽ10“ú@‹« -- Topology of knot space


7ŒŽ13“ú@Gibson -- Perron's algorithm


7ŒŽ17“ú@’ -- LK representaitons of braid groups

10ŒŽ17“ú@‚‘º@—º -- Woodhouse, "Geometric Quantization"

10ŒŽ20“ú@•£‘òO¹@-- Torelli group action on the extended Hatcher complex

10ŒŽ24“ú@’Â@’q@-- Quantum groups, braid groups and the Jones polynomial @@@

10ŒŽ31“ú@‚‘º@—º -- Woodhouse, "Geometric Quantization"

11ŒŽ10“ú@William Gibson

11ŒŽ22“ú@’Â@’q@-- Quantum groups, braid groups and the Jones polynomial @@@

11ŒŽ24“ú@Ž›“ˆˆè“ñ -- Higher parallel transport and its applications

11ŒŽ28“ú@‚‘º@—º -- Deformation quantization of Poisson manifolds

12ŒŽ5“ú@’Â@’q@-- Quantum groups, braid groups and the Jones polynomial
@@@
12ŒŽ8“ú@Ž›“ˆˆè“ñ -- Higher parallel transport and its applications

12ŒŽ19“ú@‚‘º@—º -- Deformation quantization of Poisson manifolds

1ŒŽ16“ú@’Â@’q@-- Representations of braid groups

1ŒŽ19“ú@‹g“c®•F-- Deformation quantization of toric manifolds

1ŒŽ23“ú@‚‘º@—º -- Deformation quantization of Poisson manifolds

2ŒŽ13“ú@William Gibson

2ŒŽ20“ú@ŒÜ–¡´‹I -- Gerbes in classical Chern-Simons theory


June 15, 10:40 -- 12:00 Room 128

William Gibson will talk on "Knot theory via oriented divides". (Joint with Y. Matsumoto's seminar)

‹à—j“ú@470†Žº@14:40 --

4ŒŽ14“ú@”ª“ˆ—ms -- Loop spaces of configuration spaces

4ŒŽ21“ú@Ž›“ˆˆè“ñ@-- Higher Holonomy and Reciprocity Law

5ŒŽ12“ú@ŒÜ–¡´‹I@-- Higher dimensional holonomy

5ŒŽ19“ú@•£‘ò’蓹@-- Quilt decomposition and extended Hatcher complex

5ŒŽ26“ú@‹g“c®•F@-- Perfect Bott-Morse functions on polygon spaces

6ŒŽ8“ú@”ª“ˆ—ms -- Loop spaces of configuration spaces

6ŒŽ30“ú@쑺—F”ü -- Quasi-positivity of divide links

‚VŒŽ4“úi‰Îj@”ª“ˆ—ms -- Loop spaces of configuration spaces

‚VŒŽ‚V“ú@ŒÜ–¡´‹I@-- Higher dimensional holonomy

‚VŒŽ‚P‚S“ú William Gibson