Mathematics Colloquia and Seminars
The asymptotic geometry of the Hitchin moduli spaceStudent-Run Geometry/Topology Seminar
|Speaker:||Laura Fredrickson, Stanford University|
|Start time:||Tue, Nov 12 2019, 11:00AM|
Hitchin's equations are a system of gauge theoretic equations on a Riemann surface that are of interest in many areas including representation theory, Teichmuller theory, and the geometric Langlands correspondence. The Hitchin moduli space carries a natural hyperkahler metric. A conjectural description of its asymptotic structure appears in the work of physicists Gaiotto-Moore-Neitzke. I will discuss a recent series of results on the asymptotic geometry, culminating in a proof of a weak form of Gaiotto-Moore-Neitzke's conjecture. As an application, I'll talk about recent work constructing K3 surfaces metrics by gluing together Hitchin moduli spaces.