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The asymptotic geometry of the Hitchin moduli space

Introductory Workshop: Holomorphic Differentials in Mathematics and Physics August 19, 2019 - August 23, 2019

August 22, 2019 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Laura Fredrickson (Stanford University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Hitchin moduli space

  • hyperkahler geometry

  • Higgs bundles

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

12-Fredrickson

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, 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 and there has been a lot of progress on this recently.  I will discuss some recent results.

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12-Fredrickson

H.264 Video 895_27262_7877_12-Fredrickson.mp4
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