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Speaker:

Richard Wentworth
Affiliation:

University of Maryland/MPIM
Date:

Thu, 25/05/2023 - 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

Oberseminar Differentialgeometrie The moduli space of rank 2 Higgs bundles has several natural compactifications, depending upon its

algebraic, differential geometric, or topological realizations. In this talk, I will compare the compactification coming from the algebraic geometry of the C-star action with the one coming from the analytic "limiting configurations" of solutions to the Hitchin equations.

I will explain how the nonabelian Hodge correspondence extends as a map between these compactifications. Somewhat surprisingly, the extension is not continuous, but fails in a controlled

way. This is joint work with Siqi He, Rafe Mazzeo, and Xuesen Na.

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