PIRSA:18090056 Scientific Series Mathematical physics

DOI10.48660/18090056

Series: Mathematical Physics

Derryberry, R. (2018). Langlands duality and self-duality for Hitchin systems. Perimeter Institute. https://pirsa.org/18090056

Derryberry, Richard. Langlands duality and self-duality for Hitchin systems. Perimeter Institute, Sep. 24, 2018, https://pirsa.org/18090056 

@misc{ pirsa_PIRSA:18090056,
  doi = {10.48660/18090056},
  url = {https://pirsa.org/18090056},
  author = {Derryberry, Richard},
  keywords = {Mathematical physics},
  language = {en},
  title = {Langlands duality and self-duality for Hitchin systems},
  publisher = {Perimeter Institute},
  year = {2018},
  month = {sep},
  note = {PIRSA:18090056 see, \url{https://pirsa.org}}
}

Abstract

I will sketch why self-dual versions of the moduli of G-Higgs bundles are expected to arise physically from the study of 4d theories of class S. I will then describe an extension of the Langlands duality results of Hausel-Thaddeus (G=SL(n)) and Donagi-Pantev (arbitrary reductive G) that yields self-dual moduli spaces as a corollary.

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