Institute of Mathematics for Industry

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Fixed points of symplectic and Hamiltonian circle actions


Hold Date 2018-12-14 16:00~2018-12-14 17:30

Place Seminar Room W1-D-625, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Dong Hoon Jang (Pusan National University)

Abstract:
The study of fixed points of group actions is an important topic in geometry and topology. During this talk, we focus on fixed points of actions in the case where manifolds admit symplectic structures and circle actions on the manifolds preserve the symplectic structures. We discuss the classification of a symplectic circle action with  fixed points, from small numbers of fixed points and from low dimensions. Next, we discuss when a symplectic circle action is Hamiltonian.

* This seminar is held as a part of Intensive Course.