Topology Seminar (Introductory Talk): Compactification of moduli spaces and point collision

Seminar | April 3 | 2-3 p.m. | 740 Evans Hall

 Xuwen Zhu, UC Berkeley

 Department of Mathematics

Part of the Deligne–Mumford compactification of the moduli space of marked Riemann surfaces comes from the collision of marked points ("bubbling"). I will explain this kind of degeneration and then talk about a real analogue of such compactification in the study of constant curvature conical metrics, where a similar bubbling behavior appears.