The conformal limit for parabolic Higgs bundles
Prof. Laura Fredrickson
2024-09-18 10:30-11:30
Online
Speaker: Prof. Laura Fredrickson (University of Oregon)
Time: 10:30-11:30 September 18, 2024 (Wednesday)
Venue: Online (Zoom ID: 3329836068 Password: mcm1234)
Title: The conformal limit for parabolic Higgs bundles
Abstract: Hitchin's equations are a system of gauge theoretic equations on a Riemann surface that are of interest in many areas including representation theory, Teichm\"uller theory, and the geometric Langlands correspondence. Gaiotto introduced the notion of a conformal limit of a Higgs bundle and conjectured that these should identify the Hitchin component with the oper stratum in the moduli space of flat connections. In the case of a closed Riemann surface, this result was proven by the speaker, Dumitrescu, Kydonakis, Mazzeo, Mulase, and Neitzke. It was subsequently generalized by Collier and Wentworth. In this talk, I will discuss the case of parabolic Higgs bundles, focusing on the new phenomenon. (This is joint work with B. Collier and R. Wentworth.)
