Time:13:00-16:00, Tuesday, December 23 2025
Venue:E14-222
Host:Jiyuan Han, ITS
Speaker:Xiaokang Wang,University of California, Irvine
Title:On the moduli space of locally conformally flat manifolds
Abstract:The locally conformally flat (LCF) structure is a natural generalization of the conformal structure on two-dimensional surfaces. In this talk, I will discuss its moduli space and its degeneration. In particular, I will focus on the non-collapsing case, where the manifolds can degenerate to orbifolds and ALE manifolds bubble off. I will also introduce the collapsing case and some related results.