Title

Introduction to mean dimension

Date

2023.10.11 (Wed)　16:45-17:45 (16:00- tea)

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Masaki Tsukamoto (Kyoto University)

Title

Constrained optimal stopping under a regime-switching model

Date

2023.7.19 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Takuji Arai (Keio University)

Title

Development of the modular representation theory from the symmetric group to cyclotomic quiver Hecke algebras

Date

2023.7.12 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Susumu Ariki (Osaka University)

Title

The index theorem of lattice Wilson-Dirac operators via higher index theory

Date

2023.7.5 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Yosuke Kubota (Kyoto University)

Title

Trace theorems and related topics on PDE

Date

2023.6.28 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Mitsuru Sugimoto (Nagoya University)

Title

Riemann hypothesis for plane curve singularities

Date

2023.6.21 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Ivan Cherednik (RIMS, Kyoto University & University of North Carolina at Chapel Hill)

Abstract

　We will extend the Hasse-Weil zeta functions over finite fields F_q to plane curve singularities. There is a direct connection with the compactified Jacobians (from Fundamental Lemma), which will be explained. The functional equation holds for the corresponding L-functions (due to Galkin. 1976), but the Riemann hypothesis requires new approaches. The key is that the motivic superpolynomials (they will be defined) and L-functions depend on q polynomially, which is very different from the smooth case. They are conjectured to be topological invariants of the plane curve singularities. Presumably, the surface singularities related to Seifert 3-folds can result in q-deformations of the Riemann's zeta and the Dirichlet L-functions (if time permits).

Title

Affine quantum groups and quantum Grothendieck rings

Date

2023.6.14 (Wed)　16:45-17:45

Place

Rm110, Research Institute for Mathematical Sciences, Kyoto University

Speaker

Ryo Fujita (RIMS, Kyoto University)

Title

Locally conjugate Galois sections

Date

2023.6.7 (Wed)　16:45-17:45

Place

Rm110, Research Institute for Mathematical Sciences, Kyoto University

Speaker

Wojciech Porowski (RIMS, Kyoto University)

Abstract

　Let X be a hyperbolic curve over a number field K and consider the short exact etale homotopy sequence associated to X. When v is a nonarchimedean valuation of K, we say that two splittings of this sequence are locally conjugate at v if their restrictions to a decomposition group of v are conjugate. We introduce the following problem: suppose that two splittings are locally conjugate for a ''large'' set of valuations, can we then deduce that they are locally conjugate for all valuations? In this talk we will discuss a few positive results in this direction.

Title

Tverberg's theorem for cell complexes

Date

2023.5.31 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Daisuke Kishimoto (Kyushu University)

Title

Archimedean analog of the Prasad-Takloo-Bighash conjecture

Date

2023.5.24 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Miyu Suzuki (Kyoto University)

Title

Noise sensitivity problem for random walks on discrete groups

Date

2023.5.10 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Ryokichi Tanaka (Kyoto University)

Title

Motility of microswimmers with perturbation

Date

2023.4.26 (Wed)　16:45-17:45

Place

Rm110, Research Institute for Mathematical Sciences, Kyoto University

Speaker

Yoshiki Hiruta (RIMS, Kyoto University)

Title

Fukaya category from sheaf theory

Date

2023.4.19 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Tatsuki Kuwagaki (Kyoto University)

Title

Sheaves for spacetime

Date

2023.4.12 (Wed)　16:45-17:45

Place

Rm110, Building No.3, Faculty of Science, Kyoto University

Speaker

Pierre Schapira (IMJ-PRG)

Abstract

　We introduce the notion of G-causal manifolds which generalises that of globally hyperbolic manifolds. We prove that on such manifolds the Cauchy problem is globally well-posed for sheaves under suitable microlocal hypotheses. We then apply these results to hyperbolic D-modules and Sato's hyperfunctions.