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Seminar

GT Program Seminar: Nilpotent Higgs Bundles and Families of Flat Connections October 11, 2022 (11:00 AM PDT - 12:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Sebastian Schulz (MSRI - Mathematical Sciences Research Institute)
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GT Program Seminar: Nilpotent Higgs Bundles And Families Of Flat Connections

Abstract/Media

To participate in this seminar, please register HERE.

In studying Higgs bundles, one is naturally led to consider C*-families of flat connections. One fruitful approach to studying the asymptotic behaviour of such a family is a procedure known as the "exact WKB method", at least for sufficiently generic Higgs bundles. I will describe how these results can be generalized to the most degenerate case of nilpotent Higgs bundles and how this sheds light on a conjecture by Simpson concerning the moduli space of flat connections.

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GT Program Seminar: Nilpotent Higgs Bundles And Families Of Flat Connections