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Seminar

MLA - Iterated structures on manifolds working group: Compactified configuration spaces and point collisions November 05, 2019 (01:00 PM PST - 02:00 PM PST)
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Location: MSRI: Baker Board Room
Speaker(s) Xuwen Zhu (University of California, Berkeley)
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This talk will focus on a geometric construction called compactified configuration spaces, where the resolution of point collisions can be seen as a real analogue of the Deligne--Mumford compactification of the moduli spaces of marked Riemann surfaces. I will talk about the local "bubbling" behavior, which globally has an iterative nature and is encoded in a combinatorial "tree" structure. This new construction has been an essential tool in the study of constant curvature conical metrics, and we expect it to provide a good framework for analyzing other problems involving families of elliptic operators with merging regular singularities. Joint work with Rafe Mazzeo. 

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