On real symplectic capacities
数学学科创建110周年系列报告
报告题目(Title)：On real symplectic capacities
报告人(Speaker)：高蓁 （University of Augsburg, Germany）
地点(Place)：后主楼1225，腾讯会议号: 255440051 密码:986726
时间(Time)：2025 年 3月 21日 上午10:00-11:00
邀请人(Inviter)：龚文敏
报告摘要
Real symplectic capacity is a notion for real symplectic manifolds with respect to real symplectic embeddings. Various constructions from variational calculus perspectives, e.g. real Hofer-Zehnder capacity and real Ekland-Hofer capacities, have been implemented by Liu-Wang, Jin-Lu, etc. In this talk, I will relate them to the symplectic capacities extracted from Floer homologies, and show some boundedness results. In many known cases, it seems like the real symmetry does not have impact on the finiteness question, we will try to seek for cases where symmetries play non-trival role potentially utilizing local systems and string topology on path spaces.
