Одељење за математику, 9. јун 2023.

Наредни састанак Семинара биће одржан у петак, 9. јуна 2023, у сали 301ф Матматичког института САНУ са почетком у 14.15.

Предавач: Александра Маринковић, Математички факултет, Универзитет у Београду

Наслов предавања: SYMPLECTIC CIRCLE ACTIONS ON MANIFOLDS WITH A CONTACT TYPE BOUNDAR
 
Апстракт: In this talk we consider circle actions  on symplectic manifolds that have a (convex) contact type boundary. The most natural examples from classical mechanics are cotangent bundles with their natural actions induced by an action on the base manifold. We show that many of the key ideas of Morse-Bott theory, used for closed symplectic manifolds, could also be applied in the boundary case. However, in contrast to the closed symplectic case, we show that any symplectic circle action on a symplectic manifold with a contact type boundary is always Hamiltonian. We further show several results about the topology of these symplectic manifolds. In particular, we show that the contact type boundary is connected if the dimension of the symplectic manifold is 4.

This talk is based on a joint work with Klaus Niederküger.

Напомена: Предавања се могу пратити на даљину преко линка:
https://miteam.mi.sanu.ac.rs/call/T9XDGChhq8aDcNqmz/qw7wIwci2jv2rdg9I9CrXkm7OJhF_LB8DfjXZp4jTFV
 
Регистрациона форма је доступна на:
https://miteam.mi.sanu.ac.rs/asset/tz97w4Hu4c3unsJ7N


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