00:00:00 / 00:00:00

Geometric approach to Hitchin components via punctual Hilbert schemes

By Alexander Thomas

Appears in collection : Teichmüller Theory: Classical, Higher, Super and Quantum / Théorie de Teichmüller : classique, supérieure, super et quantique

I will describe a program to describe Hitchin components as the moduli space of some new geometric structure on the surface. This geometric structure generalizes the complex structure. Its construction uses the punctual Hilbert scheme of the plane. It should give a unified description of Hitchin components without fixed complex structure on the surface. I also present a generalization to character varieties for non split real groups in the spirit of G-Higgs bundles.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.19656703
  • Cite this video Thomas, Alexander (09/10/2020). Geometric approach to Hitchin components via punctual Hilbert schemes. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19656703
  • URL https://dx.doi.org/10.24350/CIRM.V.19656703

Bibliography

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback
Loading…
Loading the web debug toolbar…
Attempt #