Abstract
This lecture series offers an introduction to multi-symplectic geometry, a generalization of symplectic geometry initially developed to describe classical field theories in a covariant and finite-dimensional manner. We will explore the following topics:
Darboux-type theorems (What do multi-symplectic manifolds look like?)
Momentum geometry (from an L∞-algebra perspective)
Reduction (from an algebraic viewpoint)
Lecture Schedule
An Invitation to Multi-Symplectic Geometry I: 20:00–21:30, May 26, 2025
An Invitation to Multi-Symplectic Geometry II: 20:00–21:30, May 27, 2025
An Invitation to Multi-Symplectic Geometry III: 20:00–21:30, May 28, 2025
An Invitation to Multi-Symplectic Geometry IV: 20:00–21:30, May 29, 2025
Speaker Biography
Leonid Ryvkin obtained his PhD in multi-symplectic geometry from Ruhr-Universität Bochum in 2018. Following postdoctoral research positions in Paris and Göttingen, he is currently a Maître de Conférences at Université Claude Bernard Lyon 1. His primary research interest lies in the application of higher structures to problems in differential geometry and mathematical physics.
