Seminario Geometría, Mecánica y Control
Contact Dynamics and Legendrian submanifolds in infinite dimensions
Ponente: Fraser Sanders (University of Manchester)Fecha: martes 30 de junio de 2026 - 12:00Lugar: Aula Gris 3, ICMAT & Seminario de Geometría y Topología, ULL
Online: Zoom. ID: 810 9248 3225. Access code: 183643
Resumen:
There has recently been a small, but growing, interest in contact dynamics in infinite-dimensional settings. This allows one to define physical systems which are infinite-dimensional but also dissipative in some sense, for example the damped wave equation or the Klein-Gordon equation. It also has some links to multicontact dynamics and non-equilibrium thermodynamics.
In this talk I will outline how contact forms are defined in infinite-dimensions, and give some elementary examples of them. I will then discuss some properties of infinite-dimensional contact manifolds and how they differ from their finite-dimensional cousins. Finally I will discuss some recent results including a class of Legendrian submanifolds, and progress towards a Bambusi-Darboux type theorem for infinite-dimensional contact forms.
