Rigidity theorems of holomorphic maps on the maximal ideal space of $H^{\infty}$
科研大讨论系列报告
报告题目(Title)：Rigidity theorems of holomorphic maps on the maximal ideal space of $H^{\infty}$
报告人(Speaker)：高泳昕 （南开大学）
地点(Place)：后主楼1124
时间(Time)：2023年11月24日9:30-10:30
邀请人(Inviter)：汪志威
报告摘要
Let $H^\infty$ be the Banach algebra of bounded analytic functions on the unit disk $D$. We use $\mathfrak{M}_\infty$ to denote maximal ideal space of $H^\infty$. Then for each analytic self-map $\varphi$ on $D$, it has a natural extension as an analytic self-map on $\mathfrak{M}_\infty$. In this talk, we will discuss the properties of fixed points of $\varphi$ on $\mathfrak{M}_\infty$. We will also give several rigidity theorems of $\varphi$ on $\mathfrak{M}_\infty$.
