Speaker: Xin Fu (SIMIS)
Time: Wednesday August 20th, 4 – 6 pm
Location: Room 1610, SIMIS
Zoom Meeting ID: 818 6826 5660 (Passcode: 322113)
摘要：
Rigidity phenomena in geometry and topology concern when a weaker equivalence between two spaces implies a stronger one. A long-standing problem in toric topology asks whether quasitoric manifolds can be classified up to homeomorphism or diffeomorphism by their integral cohomology rings.
In this talk, I will first survey several notions of rigidity that arise in the study of manifolds with torus actions within toric topology. I will then discuss toric spaces that exhibit a homotopical form of rigidity, based on joint work with Tseleung So, Jongbaek Song, and Stephen Theriault.
报告人简介：
Xin Fu is an Assistant Professor at SIMIS. She earned her PhD degree at the University of Southampton in 2019. Prior to moving to Shanghai, she held postdoctoral positions at Western University, the Fields Institute, Ajou University and BIMSA. Her research interests lie in algebraic topology and toric topology, with a focus on the topological properties of toric spaces, the homotopy rigidity problem, digraph topology, and GLMY theory.
简体中文 
English