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On the moduli space of locally conformally flat manifolds

2025-12-18 17:13:44
报告人 时间 13:00-16:00
地点 E14-222 2025
月日 12-23

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.