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日仏数学拠点FJ-LMIセミナー
過去の記録 ～05/29｜次回の予定｜今後の予定 05/30～
| 担当者 | 小林俊行, ミカエル ペブズナー |
|---|
今後の予定
2026年06月02日(火)
10:00-12:00 数理科学研究科棟(駒場) 号室
佐々田 槙子 氏 (東京大学大学院数理科学研究科)
Scaling Limits of Interacting Particle Systems: From Gaussian Fields to KPZ Universality
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
佐々田 槙子 氏 (東京大学大学院数理科学研究科)
Scaling Limits of Interacting Particle Systems: From Gaussian Fields to KPZ Universality
[ 講演概要 ]
This talk explores the scaling limits of interacting particle systems with multiple conserved quantities. Starting from weakly asymmetric dynamics on a lattice, we characterize the evolution of fluctuation fields in the diffusive limit. We show how the interplay between different conserved modes leads to a transition from linear Gaussian fields to the KPZ (Kardar-Parisi-Zhang) universality class. Using the framework of Nonlinear Fluctuating Hydrodynamics, we discuss how the second-order nonlinearities in the macroscopic currents determine whether each mode exhibits diffusive or anomalous scaling. This talk is based on joint work with Hugo Da Cunha.
[ 講演参考URL ]This talk explores the scaling limits of interacting particle systems with multiple conserved quantities. Starting from weakly asymmetric dynamics on a lattice, we characterize the evolution of fluctuation fields in the diffusive limit. We show how the interplay between different conserved modes leads to a transition from linear Gaussian fields to the KPZ (Kardar-Parisi-Zhang) universality class. Using the framework of Nonlinear Fluctuating Hydrodynamics, we discuss how the second-order nonlinearities in the macroscopic currents determine whether each mode exhibits diffusive or anomalous scaling. This talk is based on joint work with Hugo Da Cunha.
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
2026年06月02日(火)
10:00-12:00 数理科学研究科棟(駒場) 号室
斎藤 毅 氏 (東京大学大学院数理科学研究科)
Some developments in cohomology theories in arithmetic (英語)
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
斎藤 毅 氏 (東京大学大学院数理科学研究科)
Some developments in cohomology theories in arithmetic (英語)
[ 講演概要 ]
The introduction of cohomology theories into arithmetic geometry has its roots in the Weil conjectures and began with Grothendieck’s definition of étale cohomology in the 1960s. We will discuss several more recent developments, particularly those arising from collaborations between French and Japanese mathematicians, including motives with modulus, $p$-adic Simpson correspondences, and analogies with microlocal analysis.
[ 講演参考URL ]The introduction of cohomology theories into arithmetic geometry has its roots in the Weil conjectures and began with Grothendieck’s definition of étale cohomology in the 1960s. We will discuss several more recent developments, particularly those arising from collaborations between French and Japanese mathematicians, including motives with modulus, $p$-adic Simpson correspondences, and analogies with microlocal analysis.
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
2026年06月02日(火)
10:00-12:00 数理科学研究科棟(駒場) 号室
Luc PIRIO 氏 (CNRS FJ-LMI)
Lines, Curves, Surfaces, and Functional Equations
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
Luc PIRIO 氏 (CNRS FJ-LMI)
Lines, Curves, Surfaces, and Functional Equations
[ 講演概要 ]
This short talk will offer an informal and visual introduction to families of curves on surfaces, and explain how these geometric objects naturally lead to an interesting class of functional equations.
[ 講演参考URL ]This short talk will offer an informal and visual introduction to families of curves on surfaces, and explain how these geometric objects naturally lead to an interesting class of functional equations.
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
2026年06月02日(火)
10:00-12:00 数理科学研究科棟(駒場) 号室
Valentin MASSICOT 氏 (CNRS FJ-LMI (IRL2025) & LMR (UMR 9008))
Double quotients for symmetry breaking
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
Valentin MASSICOT 氏 (CNRS FJ-LMI (IRL2025) & LMR (UMR 9008))
Double quotients for symmetry breaking
[ 講演概要 ]
The orbit structure in flag varieties encodes branching laws for real reductive groups. In this talk, we describe a family of double quotients which arise naturally in the context of symmetry breaking for the general linear group.
These spaces generalize certain classical quotients, a fundamental example being the one associated with Gaussian elimination and the Bruhat decomposition. In this setting, double cosets are described using natural invariants inspired by the ranks of submatrices in the classical case.
[ 講演参考URL ]The orbit structure in flag varieties encodes branching laws for real reductive groups. In this talk, we describe a family of double quotients which arise naturally in the context of symmetry breaking for the general linear group.
These spaces generalize certain classical quotients, a fundamental example being the one associated with Gaussian elimination and the Bruhat decomposition. In this setting, double cosets are described using natural invariants inspired by the ranks of submatrices in the classical case.
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
2026年06月02日(火)
10:00-12:00 数理科学研究科棟(駒場) 号室
小林俊行 氏 (東京大学大学院数理科学研究科)
Symmetry Breaking and Geometric Analysis
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
小林俊行 氏 (東京大学大学院数理科学研究科)
Symmetry Breaking and Geometric Analysis
[ 講演概要 ]
In this talk, I first give a brief overview of fundamental problems in the branching theory of infinite-dimensional representations, namely the study of restricted representations. I then discuss recent advances in this area and their applications to spectral analysis on locally symmetric spaces beyond the traditional Riemannian setting, with particular emphasis on joint work with French colleagues.
[ 講演参考URL ]In this talk, I first give a brief overview of fundamental problems in the branching theory of infinite-dimensional representations, namely the study of restricted representations. I then discuss recent advances in this area and their applications to spectral analysis on locally symmetric spaces beyond the traditional Riemannian setting, with particular emphasis on joint work with French colleagues.
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
