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Sino-Russian Mathematics Center-JLU Colloquium (2025-014)—An invitation to multi-symplectic geometry

发表于: 2025-05-24   点击: 

报告题目: An invitation to multi-symplectic geometry

报 告 人: Leonid Ryvkin

所在单位: Université Claude Bernard Lyon 1, Villeurbanne, France

Zoom Id: 904 645 6677,Password: 2024

会议链接:

https://zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456


Abstract: In this series of talks we are going to give an introduction to multi-symplectic geometry, a generalization of symplectic geometry which was originally developed to describe classical field theories in a covariant and finite-dimensional way. We will discuss the following topics:

* Darboux type theorems (What do multi-symplectic manifolds look like?)

* momentum geometry (from an $L_\infty$-algebra perspective)

* Reduction (from an algebraic viewpoint)


Lecture 1: An invitation to multi-symplectic geometry I, 20:00-21:30, May 26, 2025

Lecture 2: An invitation to multi-symplectic geometry II, 20:00-21:30, May 27, 2025

Lecture 3: An invitation to multi-symplectic geometry III, 20:00-21:30, May 28, 2025

Lecture 4: An invitation to multi-symplectic geometry IV, 20:00-21:30, May 29, 2025



报告人简介: Leonid Ryvkin completed his Phd on multisymplectic geometry at the Ruhr-University of Bochum in 2018. After postdoctoral stays in Paris and Göttingen, he is now a Maitre de Conférences at the University Claude-Bernard Lyon 1. His primary interest is the application of higher structures to problems in differential geometry and mathematical physics.