Workshop: Johnson homomorphisms and related topics

    Monday May 22 - Friday May 26, 2017

    Lecture Hall on the ground floor of the Mathematical Science Building
    The University of Tokyo

Schedule (Last modified: April 27)
Monday, May 22
10:00-11:00 Takuya Sakasai (The University of Tokyo)
Johnson homomorphisms and symplectic representation theory
11:20-12:20 Florian Naef (Université de Genève)
The Goldman-Turaev Lie bialgebra and its connection to the Kashiwara-Vergne problem
12:20-14:00 Lunch
14:00-15:00 Shunsuke Tsuji (The University of Tokyo)
A formula for the action of Dehn twists on HOMFLY-PT type skein algebra and its application
15:20-16:20 Takefumi Nosaka (Tokyo Institute of Technology)
Cocycles of nilpotent quotients of free groups; Massey products, Milnor invariants, and Johnson-Morita homomorphisms
16:40-17:40 Ryoma Kobayashi (National Institute of Technology, Ishikawa College)
A normal generating set for the Torelli group of a compact non-orientable surface
17:50-18:20 Genki Omori (Tokyo Institute of Technology)
Generators for the level 2 twist subgroup of the mapping class group of a non-orientable surface and its abelianization

Tuesday, May 23
10:00-11:00 Yuta Nozaki (The University of Tokyo)
An extension of the LMO functor
11:20-12:20 Gwénaël Massuyeau (IRMA, Université de Strasbourg, CNRS)
The Kontsevich integral for bottom tangles in handlebodies: construction & properties
12:20-14:20 Lunch
14:20-15:20 Kazuo Habiro (RIMS, Kyoto University)
The Kontsevich integral for bottom tangles in handlebodies: algebraic aspects
15:40-16:40 Shigeyuki Morita (University of Tokyo / Tokyo Institute of Technology (emeritus))
Torelli group versus invariants of homology spheres and beyond
17:00-18:30 Tuesday Seminar on Topology
Richard Hain (Duke University)
Johnson homomorphisms, stable and unstable
19:00- Banquet



Wednesday, May 24
10:00-11:00 Seidai Yasuda (Osaka University)
Linearized and derived double shuffle Lie algebras
11:20-12:20 James Conant (The University of Tennessee)
Quotients of the Lie Lie algebra
Afternoon Informal Excursion



Thursday, May 25
10:00-11:00 Kevin Kordek (Texas A&M University)
Picard groups of moduli spaces of curves with symmetry
11:20-12:20 Hirofumi Nakai (Tokyo City University)
On the cohomology of moduli space of hyperelliptic curves
12:20-14:20 Lunch
14:20-15:20 Pierre Dèbes (Université Lille 1)
Topological Aspects in Inverse Galois Theory
15:40-16:40 Richard Hain (Duke University)
Ihara Curves
17:00-18:00 Alexander Berglund (Stockholm University)
Rational homotopy theory of automorphisms of simply connected manifolds



Friday, May 26
10:00-11:00 Christine Vespa (IRMA, Université de Strasbourg)
Polynomial functors and the Johnson filtration
11:20-12:20 Arthur Soulié (IRMA, Université de Strasbourg)
Action of the Long-Moody Construction on Polynomial Functors
12:20-14:20 Lunch
14:20-15:20 Tomáš Zeman (University of Oxford)
Homological stability for quotients of mapping class groups of surfaces
15:40-16:40 Oscar Randal-Williams (University of Cambridge)
Stable twisted cohomology via scanning

Contact

sakasai (at) ms.u-tokyo.ac.jp

Takuya SAKASAI