Seminar:An upper bound for the number of critical points of the systole function on the moduli space of hyperbolic surfaces

Seminar| Institute of Mathematical Sciences

Time: Thursday, November 21th, 2024 , 10:00-11:00

Location: IMS, RS408

Speaker: Yue Gao, Anhui Normal University

Abstract: We obtain an upper bound for the number of non-isometric critical points of the systole function on $\mathcal{T}_g$. Besides, we obtain an upper bound for the number of those critical points whose systole is smaller than a constant.