Geometry Seminar

Nilpotent Higgs bundles and families of flat connections

Speaker:   Sebastian Schulz (Johns Hopkins University)
Date:  Wednesday, 03 May 2023 - 11:30
Place:  Aula Naranja, ICMAT


Higgs bundles are intimately tied to C*-families of flat connections. One frutiful approach in 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 a natural stratification of the moduli space of flat connections.