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FJ-LMI Seminar
Seminar information archive ～05/20｜Next seminar｜Future seminars 05/21～
| Organizer(s) | Toshiyuki Kobayashi, Michael Pevzner |
|---|
Future seminars
2026/05/21
14:15-15:00 Room # (Graduate School of Math. Sci. Bldg.)
Julien ROUYER (École Centrale de Pékin, Beihang university, Beijing)
How to cross an intersection ?
Julien ROUYER (École Centrale de Pékin, Beihang university, Beijing)
How to cross an intersection ?
[ Abstract ]
Under certain constraints, we enumerate the different ways of simultaneously crossing a road intersection with alternating entries and exits, for a maximal number of vehicles. The problem reduces to the study of various types of non-crossing partitions of {1,…,n} and gives rise to new integer sequences. Standard combinatorial methods then lead to systems of polynomial equations, in which the unknowns are the generating functions of these sequences.
Under certain constraints, we enumerate the different ways of simultaneously crossing a road intersection with alternating entries and exits, for a maximal number of vehicles. The problem reduces to the study of various types of non-crossing partitions of {1,…,n} and gives rise to new integer sequences. Standard combinatorial methods then lead to systems of polynomial equations, in which the unknowns are the generating functions of these sequences.
2026/06/02
10:00-12:00 Room # (Graduate School of Math. Sci. Bldg.)
Makiko SASADA (The University of Tokyo)
Scaling Limits of Interacting Particle Systems: From Gaussian Fields to KPZ Universality
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
Makiko SASADA (The University of Tokyo)
Scaling Limits of Interacting Particle Systems: From Gaussian Fields to KPZ Universality
[ Abstract ]
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.
[ Reference 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/
2026/06/02
10:00-12:00 Room # (Graduate School of Math. Sci. Bldg.)
Takeshi SAITO (The University of Tokyo)
Some developments in cohomology theories in arithmetic (英語)
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
Takeshi SAITO (The University of Tokyo)
Some developments in cohomology theories in arithmetic (英語)
[ Abstract ]
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.
[ Reference 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/
2026/06/02
10:00-12:00 Room # (Graduate School of Math. Sci. Bldg.)
Luc PIRIO (CNRS FJ-LMI)
TBA
[ Reference URL ]
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
Luc PIRIO (CNRS FJ-LMI)
TBA
[ Reference URL ]
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
2026/06/02
10:00-12:00 Room # (Graduate School of Math. Sci. Bldg.)
Valentin MASSICOT (CNRS FJ-LMI (IRL2025) & LMR (UMR 9008))
Double quotients for symmetry breaking
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
Valentin MASSICOT (CNRS FJ-LMI (IRL2025) & LMR (UMR 9008))
Double quotients for symmetry breaking
[ Abstract ]
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.
[ Reference 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/
2026/06/02
10:00-12:00 Room # (Graduate School of Math. Sci. Bldg.)
Toshiyuki Kobayashi (The University of Tokyo)
Symmetry Breaking and Geometric Analysis
https://fj-lmi.cnrs.fr/fj-lmi-day-2026/
Toshiyuki Kobayashi (The University of Tokyo)
Symmetry Breaking and Geometric Analysis
[ Abstract ]
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.
[ Reference 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/
