Seminar information archive
Seminar information archive ～07/21｜Today's seminar 07/22  Future seminars 07/23～
thesis presentations
11:0012:15 Online
Masatoshi Goda (Graduate School of Mathematical Sciences University of Tokyo)
Statistical inference for Hawkes processes
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
Masatoshi Goda (Graduate School of Mathematical Sciences University of Tokyo)
Statistical inference for Hawkes processes
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
thesis presentations
14:4516:00 Online
Yusuke Sato (Graduate School of Mathematical Sciences University of Tokyo)
Multidimensional continued fractions and FujikiOka resolutions of cyclic quotient singularities
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
Yusuke Sato (Graduate School of Mathematical Sciences University of Tokyo)
Multidimensional continued fractions and FujikiOka resolutions of cyclic quotient singularities
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
thesis presentations
11:0012:15 Online
Taketo Sano (Graduate School of Mathematical Sciences University of Tokyo)
On functoriality and spatial refinements of Khovanov homology and its variants
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
Taketo Sano (Graduate School of Mathematical Sciences University of Tokyo)
On functoriality and spatial refinements of Khovanov homology and its variants
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
thesis presentations
14:4516:00 Online
Hiroshi Takase (Graduate School of Mathematical Sciences University of Tokyo)
Inverse problems for hyperbolic partial differential equations with timedependent coefficients
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
Hiroshi Takase (Graduate School of Mathematical Sciences University of Tokyo)
Inverse problems for hyperbolic partial differential equations with timedependent coefficients
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
thesis presentations
14:4516:00 Online
Mayuko Yamashita (RIMS, Kyoto University)
Differential models for the Anderson dual to bordism theories and invertible QFT’s
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
Mayuko Yamashita (RIMS, Kyoto University)
Differential models for the Anderson dual to bordism theories and invertible QFT’s
[ Reference URL ]
https://forms.gle/bdsntP4pZ4TMaehF9
2022/01/25
Tuesday Seminar on Topology
17:0018:00 Online
Preregistration required. See our seminar webpage.
Xiaobing Sheng (The Univesity of Tokyo)
Some obstructions on subgroups of the BrinThompson group $2V$ (ENGLISH)
https://park.itc.utokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Preregistration required. See our seminar webpage.
Xiaobing Sheng (The Univesity of Tokyo)
Some obstructions on subgroups of the BrinThompson group $2V$ (ENGLISH)
[ Abstract ]
Motivated by Burillo, Cleary and Röver's summary of the obstruction for subgroups of Thompson's group $V$, we investigate the higher dimensional version, the group $2V$ and found out that they have similar obstructions on torsion subgroups and certain BaumslagSolitar groups.
[ Reference URL ]Motivated by Burillo, Cleary and Röver's summary of the obstruction for subgroups of Thompson's group $V$, we investigate the higher dimensional version, the group $2V$ and found out that they have similar obstructions on torsion subgroups and certain BaumslagSolitar groups.
https://park.itc.utokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
2022/01/24
Seminar on Geometric Complex Analysis
10:3012:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Junjiro Noguchi (The University of Tokyo)
Analytic AxSchanuel Theorem for semiabelian varieties and Nevanlinna theory (Japanese)
https://utokyoacjp.zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB
Junjiro Noguchi (The University of Tokyo)
Analytic AxSchanuel Theorem for semiabelian varieties and Nevanlinna theory (Japanese)
[ Abstract ]
The present study is motivated by $\textit{Schanuel Conjecture}$, which in particular implies the algebraic independence of $e$ and $\pi$. Our aim is to explore, as a transcendental functional analogue of Schanuel Conjecture, the value distribution theory (Nevanlinna theory) of the entire curve $\widehat{\mathrm{ex}}_A f:=(\exp_Af,f):\mathbf{C} \to A \times \mathrm{Lie}(A)$ associated with an entire curve $f: \mathbf{C} \to \mathrm{Lie}(A)$, where $\exp_A:\mathrm{Lie}(A)\to A$ is an exponential map of a semiabelian variety $A$.
We firstly give a Nevanlinna theoretic proof to the $\textit{analytic AxSchanuel Theorem}$ for semiabelian varieties, which was proved by J. Ax 1972 in the case of formal power series $\mathbf{C}[[t]]$ (AxSchanuel Theorem). We assume some nondegeneracy condition for $f$ such that in the case of $A=(\mathbf{C}^*)^n$ and $\mathrm{Lie}((\mathbf{C}^*)^n)=\mathbf{C}^n$, the elements of the vectorvalued function $f(z)f(0)$ are $\mathbf{Q}$linearly independent. Then by the method of Nevanlinna theory (the Log BlochOchiai Theorem), we prove that $\mathrm{tr.deg}_\mathbf{C}\, \widehat{\mathrm{ex}}_A f \geq n+ 1.$
Secondly, we prove a $\textit{Second Main Theorem}$ for $\widehat{\mathrm{ex}}_A f$ and an algebraic divisor $D$ on $A \times \mathrm{Lie}(A)$ with compactifications $\bar D \subset \bar A \times \overline{\mathrm{Lie}(A)}$ such that
\[
T_{\widehat{\mathrm{ex}}_Af}(r, L({\bar D})) \leq N_1 (r,
(\widehat{\mathrm{ex}}_A f)^* D)+
\varepsilon T_{\exp_Af}(r)+O(\log r) ~~ _\varepsilon.
\]
We will also deal with the intersections of $\widehat{\mathrm{ex}}_Af$ with higher codimensional algebraic cycles of $A \times \mathrm{Lie}(A)$ as well as the case of higher jets.
[ Reference URL ]The present study is motivated by $\textit{Schanuel Conjecture}$, which in particular implies the algebraic independence of $e$ and $\pi$. Our aim is to explore, as a transcendental functional analogue of Schanuel Conjecture, the value distribution theory (Nevanlinna theory) of the entire curve $\widehat{\mathrm{ex}}_A f:=(\exp_Af,f):\mathbf{C} \to A \times \mathrm{Lie}(A)$ associated with an entire curve $f: \mathbf{C} \to \mathrm{Lie}(A)$, where $\exp_A:\mathrm{Lie}(A)\to A$ is an exponential map of a semiabelian variety $A$.
We firstly give a Nevanlinna theoretic proof to the $\textit{analytic AxSchanuel Theorem}$ for semiabelian varieties, which was proved by J. Ax 1972 in the case of formal power series $\mathbf{C}[[t]]$ (AxSchanuel Theorem). We assume some nondegeneracy condition for $f$ such that in the case of $A=(\mathbf{C}^*)^n$ and $\mathrm{Lie}((\mathbf{C}^*)^n)=\mathbf{C}^n$, the elements of the vectorvalued function $f(z)f(0)$ are $\mathbf{Q}$linearly independent. Then by the method of Nevanlinna theory (the Log BlochOchiai Theorem), we prove that $\mathrm{tr.deg}_\mathbf{C}\, \widehat{\mathrm{ex}}_A f \geq n+ 1.$
Secondly, we prove a $\textit{Second Main Theorem}$ for $\widehat{\mathrm{ex}}_A f$ and an algebraic divisor $D$ on $A \times \mathrm{Lie}(A)$ with compactifications $\bar D \subset \bar A \times \overline{\mathrm{Lie}(A)}$ such that
\[
T_{\widehat{\mathrm{ex}}_Af}(r, L({\bar D})) \leq N_1 (r,
(\widehat{\mathrm{ex}}_A f)^* D)+
\varepsilon T_{\exp_Af}(r)+O(\log r) ~~ _\varepsilon.
\]
We will also deal with the intersections of $\widehat{\mathrm{ex}}_Af$ with higher codimensional algebraic cycles of $A \times \mathrm{Lie}(A)$ as well as the case of higher jets.
https://utokyoacjp.zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB
2022/01/21
Colloquium
15:3016:30 Online
Registration is closed (12:00, January 21).
Yoshiko Ogata (Graduate School of Mathematical Sciences, The University of Tokyo)
Classification of gapped ground state phases in quantum spin systems (JAPANESE)
Registration is closed (12:00, January 21).
Yoshiko Ogata (Graduate School of Mathematical Sciences, The University of Tokyo)
Classification of gapped ground state phases in quantum spin systems (JAPANESE)
TokyoNagoya Algebra Seminar
16:4518:15 Online
Please see the URL below for details on the online seminar.
Haruhisa Enomoto (Osaka Prefecture University)
Exactcategorical properties of subcategories of abelian categories 2 (Japanese)
http://www.math.nagoyau.ac.jp/~aaron.chan/TNAseminar.html
Please see the URL below for details on the online seminar.
Haruhisa Enomoto (Osaka Prefecture University)
Exactcategorical properties of subcategories of abelian categories 2 (Japanese)
[ Abstract ]
Quillen's exact category is a powerful framework for studying extensionclosed subcategories of abelian categories, and provides many interesting questions on such subcategories.
In the first talk, I will explain the basics of some properties and invariants of exact categories (e.g. the JordanHolder property, simple objects, and Grothendieck monoid).
In the second talk, I will give some results and questions about particular classes of exact categories arising in the representation theory of algebras (e.g. torsion(free) classes over path algebras and preprojective algebras).
If time permits, I will discuss questions of whether these results can be generalized to extriangulated categories (extensionclosed subcategories of triangulated categories).
[ Reference URL ]Quillen's exact category is a powerful framework for studying extensionclosed subcategories of abelian categories, and provides many interesting questions on such subcategories.
In the first talk, I will explain the basics of some properties and invariants of exact categories (e.g. the JordanHolder property, simple objects, and Grothendieck monoid).
In the second talk, I will give some results and questions about particular classes of exact categories arising in the representation theory of algebras (e.g. torsion(free) classes over path algebras and preprojective algebras).
If time permits, I will discuss questions of whether these results can be generalized to extriangulated categories (extensionclosed subcategories of triangulated categories).
http://www.math.nagoyau.ac.jp/~aaron.chan/TNAseminar.html
2022/01/20
Seminar on Probability and Statistics
15:0016:10 Room # (Graduate School of Math. Sci. Bldg.)
Yoshimasa Uematsu ()

[ Reference URL ]
https://docs.google.com/forms/d/e/1FAIpQLSdH8oP72k7qsHigZBBZ4F6NbGIJ6BcOWgKLhted2ohGSBeg/viewform
Yoshimasa Uematsu ()

[ Reference URL ]
https://docs.google.com/forms/d/e/1FAIpQLSdH8oP72k7qsHigZBBZ4F6NbGIJ6BcOWgKLhted2ohGSBeg/viewform
2022/01/19
Mathematical Biology Seminar
15:0016:00 Online
Tsuyoshi Kajiwara (Professor Emeritus, Okayama University)
Destabilization induced by time delay, immunity and absorbing effect
(Japanese)
[ Reference URL ]
オンラインですので，参加希望のかたは稲葉(inaba@ms.utokyo.ac.jp)へご連絡ください．
Tsuyoshi Kajiwara (Professor Emeritus, Okayama University)
Destabilization induced by time delay, immunity and absorbing effect
(Japanese)
[ Reference URL ]
オンラインですので，参加希望のかたは稲葉(inaba@ms.utokyo.ac.jp)へご連絡ください．
Seminar on Probability and Statistics
14:3016:00 Room # (Graduate School of Math. Sci. Bldg.)
Martin Hazelton (Otago University)
Dynamic fibre samplers for linear inverse problems
https://docs.google.com/forms/d/e/1FAIpQLSeoXt5v8xdQNFAKTDLoD0lttaHjV17_r7864x11mtxU1EQlhQ/viewform
Martin Hazelton (Otago University)
Dynamic fibre samplers for linear inverse problems
[ Abstract ]
AsiaPacific Seminar in Probability and Statistics (APSPS)
https://sites.google.com/view/apsps/home
Statistical inverse problems occur when we wish to learn about some random process that is observed only indirectly. Inference in such situations typically involves sampling possible values for the latent variables of interest conditional on the indirect observations. For count data, the latent variables are constrained to lie on a fibre (solution set for the linear system) comprising the integer lattice within a convex polytope.
Sampling the latent counts can be conducted using MCMC methods,through a random walk on this fibre. A major challenge is finding a set of basic moves that ensures connectedness of the walk over the fibre. In principle this can be done by computing a Markov basis of potential moves, but the resulting sampler can be hugely inefficient even when such a basis is computable. In this talk I will describe some current work on developing a dynamic Markov basis that generates moves on the fly. This approach can guarantee irreducibility of the sampler while gaining efficiency by increasing the probability of selecting serviceable sampling directions.
[ Reference URL ]AsiaPacific Seminar in Probability and Statistics (APSPS)
https://sites.google.com/view/apsps/home
Statistical inverse problems occur when we wish to learn about some random process that is observed only indirectly. Inference in such situations typically involves sampling possible values for the latent variables of interest conditional on the indirect observations. For count data, the latent variables are constrained to lie on a fibre (solution set for the linear system) comprising the integer lattice within a convex polytope.
Sampling the latent counts can be conducted using MCMC methods,through a random walk on this fibre. A major challenge is finding a set of basic moves that ensures connectedness of the walk over the fibre. In principle this can be done by computing a Markov basis of potential moves, but the resulting sampler can be hugely inefficient even when such a basis is computable. In this talk I will describe some current work on developing a dynamic Markov basis that generates moves on the fly. This approach can guarantee irreducibility of the sampler while gaining efficiency by increasing the probability of selecting serviceable sampling directions.
https://docs.google.com/forms/d/e/1FAIpQLSeoXt5v8xdQNFAKTDLoD0lttaHjV17_r7864x11mtxU1EQlhQ/viewform
2022/01/18
Operator Algebra Seminars
16:4518:15 Online
Miho Mukohara (Univ. Tokyo)
C$^*$simplicity of relative profinite completions of generalized BaumslagSolitar groups
[ Reference URL ]
https://www.ms.utokyo.ac.jp/~yasuyuki/tokyoseminar.htm
Miho Mukohara (Univ. Tokyo)
C$^*$simplicity of relative profinite completions of generalized BaumslagSolitar groups
[ Reference URL ]
https://www.ms.utokyo.ac.jp/~yasuyuki/tokyoseminar.htm
TokyoNagoya Algebra Seminar
15:0016:30 Online
Please see the URL below for details on the online seminar.
Haruhisa Enomoto (Osaka Prefecture University)
Exactcategorical properties of subcategories of abelian categories 1 (Japanese)
http://www.math.nagoyau.ac.jp/~aaron.chan/TNAseminar.html
Please see the URL below for details on the online seminar.
Haruhisa Enomoto (Osaka Prefecture University)
Exactcategorical properties of subcategories of abelian categories 1 (Japanese)
[ Abstract ]
Quillen's exact category is a powerful framework for studying extensionclosed subcategories of abelian categories, and provides many interesting questions on such subcategories.
In the first talk, I will explain the basics of some properties and invariants of exact categories (e.g. the JordanHolder property, simple objects, and Grothendieck monoid).
In the second talk, I will give some results and questions about particular classes of exact categories arising in the representation theory of algebras (e.g. torsion(free) classes over path algebras and preprojective algebras).
If time permits, I will discuss questions of whether these results can be generalized to extriangulated categories (extensionclosed subcategories of triangulated categories).
[ Reference URL ]Quillen's exact category is a powerful framework for studying extensionclosed subcategories of abelian categories, and provides many interesting questions on such subcategories.
In the first talk, I will explain the basics of some properties and invariants of exact categories (e.g. the JordanHolder property, simple objects, and Grothendieck monoid).
In the second talk, I will give some results and questions about particular classes of exact categories arising in the representation theory of algebras (e.g. torsion(free) classes over path algebras and preprojective algebras).
If time permits, I will discuss questions of whether these results can be generalized to extriangulated categories (extensionclosed subcategories of triangulated categories).
http://www.math.nagoyau.ac.jp/~aaron.chan/TNAseminar.html
Lie Groups and Representation Theory
17:0018:00 Room #On line (Graduate School of Math. Sci. Bldg.)
Hideyuki Ishi (Osaka City University)
Strongly visible actions on complex domains (Japanese)
Hideyuki Ishi (Osaka City University)
Strongly visible actions on complex domains (Japanese)
[ Abstract ]
In this century, the CartanHartogs domain and its variations, on which the Bergman kernel function and the KahlerEinstein metric can be computed explicitly, have been actively studied. Reasoning that strongly visible actions on the domains enable such nice calculations, we introduce a new type of complex domain analogous to the CartanHartogs domain, and present a research plan about harmonic analysis over the domain.
In this century, the CartanHartogs domain and its variations, on which the Bergman kernel function and the KahlerEinstein metric can be computed explicitly, have been actively studied. Reasoning that strongly visible actions on the domains enable such nice calculations, we introduce a new type of complex domain analogous to the CartanHartogs domain, and present a research plan about harmonic analysis over the domain.
2022/01/13
Information Mathematics Seminar
16:5018:35 Online
Keita Xagawa (NTT)
Latticebased cryptography and its applications (Japanese)
https://docs.google.com/forms/d/1WLEbsA2aQTXgdE2ynrumJOGZ4AVWqcOLCz42B4nPY
Keita Xagawa (NTT)
Latticebased cryptography and its applications (Japanese)
[ Abstract ]
Explanation on latticebased cryptography and its applications
[ Reference URL ]Explanation on latticebased cryptography and its applications
https://docs.google.com/forms/d/1WLEbsA2aQTXgdE2ynrumJOGZ4AVWqcOLCz42B4nPY
2022/01/11
Operator Algebra Seminars
16:4518:15 Online
Akihiro Miyagawa (Kyoto University)
Rationality for operators in free semicircular elements
[ Reference URL ]
https://www.ms.utokyo.ac.jp/~yasuyuki/tokyoseminar.htm
Akihiro Miyagawa (Kyoto University)
Rationality for operators in free semicircular elements
[ Reference URL ]
https://www.ms.utokyo.ac.jp/~yasuyuki/tokyoseminar.htm
Tuesday Seminar on Topology
17:0018:00 Online
Joint with Lie Groups and Representation Theory Seminar. See our seminar webpage.
Keiichi Maeta (The Univesity of Tokyo)
On the existence problem of Compact CliffordKlein forms of indecomposable pseudoRiemannian symmetric spaces with signature (n,2) (JAPANESE)
https://park.itc.utokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Joint with Lie Groups and Representation Theory Seminar. See our seminar webpage.
Keiichi Maeta (The Univesity of Tokyo)
On the existence problem of Compact CliffordKlein forms of indecomposable pseudoRiemannian symmetric spaces with signature (n,2) (JAPANESE)
[ Abstract ]
For a homogeneous space $G/H$ and its discontinuous group $\Gamma\subset G$, the double coset space $\Gamma\backslash G/H$ is called a CliffordKlein form of $G/H$. In the study of CliffordKlein forms, the classification of homogeneous spaces which admit compact Clifford—Klein forms is one of the important open problems, which was introduced by Toshiyuki Kobayashi in 1980s. We consider this problem for indecomposable and reducible pseudoRiemannian symmetric spaces with signature (n,2). We show the nonexistence of compact CliffordKlein forms for some series of symmetric spaces, and construct new compact CliffordKlein forms of countably infinite fivedimensional pseudoRiemannian symmetric spaces with signature (3,2).
[ Reference URL ]For a homogeneous space $G/H$ and its discontinuous group $\Gamma\subset G$, the double coset space $\Gamma\backslash G/H$ is called a CliffordKlein form of $G/H$. In the study of CliffordKlein forms, the classification of homogeneous spaces which admit compact Clifford—Klein forms is one of the important open problems, which was introduced by Toshiyuki Kobayashi in 1980s. We consider this problem for indecomposable and reducible pseudoRiemannian symmetric spaces with signature (n,2). We show the nonexistence of compact CliffordKlein forms for some series of symmetric spaces, and construct new compact CliffordKlein forms of countably infinite fivedimensional pseudoRiemannian symmetric spaces with signature (3,2).
https://park.itc.utokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Lie Groups and Representation Theory
17:0018:00 Room #on line (Graduate School of Math. Sci. Bldg.)
Joint with Tuesday Seminar on Topology.
Keiichi Maeta (The University of Tokyo)
On the existence problem of Compact CliffordKlein forms of indecomposable pseudoRiemannian symmetric spaces with signature (n,2) (Japanese)
Joint with Tuesday Seminar on Topology.
Keiichi Maeta (The University of Tokyo)
On the existence problem of Compact CliffordKlein forms of indecomposable pseudoRiemannian symmetric spaces with signature (n,2) (Japanese)
[ Abstract ]
For a homogeneous space $G/H$ and its discontinuous group $\Gamma\subset G$, the double coset space $\Gamma\backslash G/H$ is called a CliffordKlein form of $G/H$. In the study of CliffordKlein forms, the classification of homogeneous spaces which admit compact CliffordKlein forms is one of the important open problems, which was introduced by Toshiyuki Kobayashi in 1980s.
We consider this problem for indecomposable and reducible pseudoRiemannian symmetric spaces with signature (n,2). We show the nonexistence of compact CliffordKlein forms for some series of symmetric spaces, and construct new compact CliffordKlein forms of countably infinite fivedimensional pseudoRiemannian symmetric spaces with signature (3,2).
For a homogeneous space $G/H$ and its discontinuous group $\Gamma\subset G$, the double coset space $\Gamma\backslash G/H$ is called a CliffordKlein form of $G/H$. In the study of CliffordKlein forms, the classification of homogeneous spaces which admit compact CliffordKlein forms is one of the important open problems, which was introduced by Toshiyuki Kobayashi in 1980s.
We consider this problem for indecomposable and reducible pseudoRiemannian symmetric spaces with signature (n,2). We show the nonexistence of compact CliffordKlein forms for some series of symmetric spaces, and construct new compact CliffordKlein forms of countably infinite fivedimensional pseudoRiemannian symmetric spaces with signature (3,2).
2022/01/06
Information Mathematics Seminar
16:5018:35 Online
Hiroshi Fujiwara (BroadBand Tower, Inc.)
Next cyber security strategy of the Japanese Government (Japanese)
https://docs.google.com/forms/d/1I3XD63V937BT_IoqRWBVN67goQAtbkSoIKs6hfLUAM
Hiroshi Fujiwara (BroadBand Tower, Inc.)
Next cyber security strategy of the Japanese Government (Japanese)
[ Abstract ]
Explanation on next cyber security strategy of the Japanese government
[ Reference URL ]Explanation on next cyber security strategy of the Japanese government
https://docs.google.com/forms/d/1I3XD63V937BT_IoqRWBVN67goQAtbkSoIKs6hfLUAM
2021/12/23
Information Mathematics Seminar
16:5018:35 Online
Hiroshi Fujiwara (BroadBand Tower, Inc.)
The cyber attack to the Ministry of Defenseaffiliated company and zero trust of Amazon/Google (Japanese)
https://docs.google.com/forms/d/1I3XD63V937BT_IoqRWBVN67goQAtbkSoIKs6hfLUAM
Hiroshi Fujiwara (BroadBand Tower, Inc.)
The cyber attack to the Ministry of Defenseaffiliated company and zero trust of Amazon/Google (Japanese)
[ Abstract ]
Explanation on the cyber attack to the Ministry of Defenseaffiliated company and zero trust of Amazon/Google
[ Reference URL ]Explanation on the cyber attack to the Ministry of Defenseaffiliated company and zero trust of Amazon/Google
https://docs.google.com/forms/d/1I3XD63V937BT_IoqRWBVN67goQAtbkSoIKs6hfLUAM
2021/12/22
Number Theory Seminar
17:0018:00 Online
Stefano Morra (Paris 8 University)
Some properties of the Hecke eigenclasses of the mod pcohomology of Shimura curves (English)
Stefano Morra (Paris 8 University)
Some properties of the Hecke eigenclasses of the mod pcohomology of Shimura curves (English)
[ Abstract ]
The mod p local Langlands program, foreseen by Serre and proposed in precise terms by C. Breuil after his pdivisible groups computations in the BreuilConradDiamondTaylor proof of the ShimuraTaiyamaWeil conjecture, was realized in the particular case of GL_2(\mathbf{Q}_p) thanks to a vast convergence of new tools: classification of mod prepresentations of GL_2(\mathbf{Q}_p), local Galois deformation techniques, localglobal compatibility arguments.
When trying to extend these conjectures to more general groups, multiple problems arise (lack of classification results for smooth mod prepresentations of padic groups, absence of explicit integral models for Galois representations with the relevant padic Hodge theory conditions), and the only way to formulate, and test, conjectures on a mod p local Langlands correspondence relies on its expected realization in Hecke eigenclasses of Shimura varieties (or, in other words, the expectation of a localglobal compatibility of the Langlands correspondence).
In this talk we describe some properties of Hecke isotypical spaces of the mod pcohomology of Shimura curves with infinite level at p, when the reflex field F is unramified at p and the Shimura curve arises from a quaternion algebra which is split at p. These Hecke isotypical spaces are expected to be the “good” smooth mod prepresentations of GL_2(F_{\mathfrak{p}}) attached to mod p Galois representations of Gal(\overline{\mathbf{Q}_p}/F_{\mathfrak{p}}) via the expected local Langlands correspondence mod p. We will in particular comment on their GelfandKirillov dimension, and their irreducibility (in particular, the finite length of these Hecke eigenspaces as GL_2(F_{\mathfrak{p}})representations).
This is a report on a series of work joint with C. Breuil, F. Herzig, Y. Hu et B. Schraen.
The mod p local Langlands program, foreseen by Serre and proposed in precise terms by C. Breuil after his pdivisible groups computations in the BreuilConradDiamondTaylor proof of the ShimuraTaiyamaWeil conjecture, was realized in the particular case of GL_2(\mathbf{Q}_p) thanks to a vast convergence of new tools: classification of mod prepresentations of GL_2(\mathbf{Q}_p), local Galois deformation techniques, localglobal compatibility arguments.
When trying to extend these conjectures to more general groups, multiple problems arise (lack of classification results for smooth mod prepresentations of padic groups, absence of explicit integral models for Galois representations with the relevant padic Hodge theory conditions), and the only way to formulate, and test, conjectures on a mod p local Langlands correspondence relies on its expected realization in Hecke eigenclasses of Shimura varieties (or, in other words, the expectation of a localglobal compatibility of the Langlands correspondence).
In this talk we describe some properties of Hecke isotypical spaces of the mod pcohomology of Shimura curves with infinite level at p, when the reflex field F is unramified at p and the Shimura curve arises from a quaternion algebra which is split at p. These Hecke isotypical spaces are expected to be the “good” smooth mod prepresentations of GL_2(F_{\mathfrak{p}}) attached to mod p Galois representations of Gal(\overline{\mathbf{Q}_p}/F_{\mathfrak{p}}) via the expected local Langlands correspondence mod p. We will in particular comment on their GelfandKirillov dimension, and their irreducibility (in particular, the finite length of these Hecke eigenspaces as GL_2(F_{\mathfrak{p}})representations).
This is a report on a series of work joint with C. Breuil, F. Herzig, Y. Hu et B. Schraen.
2021/12/21
Tuesday Seminar on Topology
17:3018:30 Online
Joint with Lie Groups and Representation Theory Seminar. See our seminar webpage.
Hiroki Shimakura (Tohoku University)
Classification of holomorphic vertex operator algebras of central charge 24 (JAPANESE)
https://park.itc.utokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Joint with Lie Groups and Representation Theory Seminar. See our seminar webpage.
Hiroki Shimakura (Tohoku University)
Classification of holomorphic vertex operator algebras of central charge 24 (JAPANESE)
[ Abstract ]
Holomorphic vertex operator algebras are imporant in vertex operator algebra theory. For example, the famous moonshine vertex operator algebra is holomorphic. One of the fundamental problems is to classify holomorphic vertex operator algebras. It is known that holomorphic vertex operator algebras of central charge 8 and 16 are lattice vertex operator algebras. I will talk about recent progress on the classification of holomorphic vertex operator algebras of central charge 24.
[ Reference URL ]Holomorphic vertex operator algebras are imporant in vertex operator algebra theory. For example, the famous moonshine vertex operator algebra is holomorphic. One of the fundamental problems is to classify holomorphic vertex operator algebras. It is known that holomorphic vertex operator algebras of central charge 8 and 16 are lattice vertex operator algebras. I will talk about recent progress on the classification of holomorphic vertex operator algebras of central charge 24.
https://park.itc.utokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Operator Algebra Seminars
16:4518:15 Online
Wojciech Dybalski (Adam Mickiewicz University in Poznan)
Interacting massless infraparticles in 1+1 dimensions
(English)
[ Reference URL ]
https://www.ms.utokyo.ac.jp/~yasuyuki/tokyoseminar.htm
Wojciech Dybalski (Adam Mickiewicz University in Poznan)
Interacting massless infraparticles in 1+1 dimensions
(English)
[ Reference URL ]
https://www.ms.utokyo.ac.jp/~yasuyuki/tokyoseminar.htm
Lie Groups and Representation Theory
17:3018:30 Room #on line (Graduate School of Math. Sci. Bldg.)
Joint with Tuesday Seminar on Topology.
Hiroki Shimakura (Tohoku University)
Classification of holomorphic vertex operator algebras of central charge 24
(Japanese)
Joint with Tuesday Seminar on Topology.
Hiroki Shimakura (Tohoku University)
Classification of holomorphic vertex operator algebras of central charge 24
(Japanese)
[ Abstract ]
Holomorphic vertex operator algebras are important in vertex operator algebra theory. For example, the famous moonshine vertex operator algebra is holomorphic.
One of the fundamental problems is to classify holomorphic vertex operator algebras. It is known that holomorphic vertex operator algebras of central charge 8 and 16 are lattice vertex operator algebras.
I will talk about recent progress on the classification of holomorphic vertex operator algebras of central charge 24.
Holomorphic vertex operator algebras are important in vertex operator algebra theory. For example, the famous moonshine vertex operator algebra is holomorphic.
One of the fundamental problems is to classify holomorphic vertex operator algebras. It is known that holomorphic vertex operator algebras of central charge 8 and 16 are lattice vertex operator algebras.
I will talk about recent progress on the classification of holomorphic vertex operator algebras of central charge 24.
< Previous 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188 Next >