Odeljenje za matematiku, 9. jun 2023.

Naredni sastanak Seminara biće održan u petak, 9. juna 2023, u sali 301f Matmatičkog instituta SANU sa početkom u 14.15.

Predavač: Aleksandra Marinković, Matematički fakultet, Univerzitet u Beogradu

Naslov predavanja: SYMPLECTIC CIRCLE ACTIONS ON MANIFOLDS WITH A CONTACT TYPE BOUNDAR
 
Apstrakt: 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.

Napomena: Predavanja se mogu pratiti na daljinu preko linka:
https://miteam.mi.sanu.ac.rs/call/T9XDGChhq8aDcNqmz/qw7wIwci2jv2rdg9I9CrXkm7OJhF_LB8DfjXZp4jTFV
 
Registraciona forma je dostupna na:
https://miteam.mi.sanu.ac.rs/asset/tz97w4Hu4c3unsJ7N



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