Colloquium
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.
2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 |