Geometry and Representation Theory Associated to G-Torsors on Curves

April 21, 2025 - April 25, 2025

Organizers:

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Johan Martens
University of Edinburgh
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Swarnava Mukhopadhyay
TIFR Mumbai
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Richard Wentworth
University of Maryland

In the past decades, the theory of moduli spaces of bundles over algebraic curves has played a central role in various branches of mathematics, with deep ties to very active areas of research such as topological field theories, the Langlands program, and representation theory of affine Lie algebras. A crucial ingredient that unifies several refinements of the theory came into focus recently: torsors for parahoric Bruhat-Tits group schemes. This gives a uniform approach to level structures, parabolic bundles, Prym varieties, and the structures underlying twisted conformal blocks from conformal field theory.

The last few years have seen the start of a systematic study of these matters, involving different communities of researchers and areas of interest. This workshop will follow up on the successful conference at ICMS Edinburgh in June 2022 that was devoted to these topics.



Participants:

  • Joergen Andersen, University of Southern Denmark
  • Prakash Belkale, University of North Carolina at Chapel Hill
  • Philip Boalch, CNRS, IMJ-Paris
  • Michele Bolognesi, University of Montpellier
  • Chiara Damiolini, University of Texas at Austin
  • Tanmay Deshpande, TIFR Mumbai
  • Ajneet Dhillon, Western University
  • Chongying Dong, University of California Santa Cruz
  • Giovanni Felder, ETH Zurich
  • Pierre Godfard, Sorbonne Universite
  • Iva Halacheva, Northeastern University
  • Shrawan Kumar, University of North Carolina, Chapel Hill
  • Georgios Kydonakis, University of Patras
  • Chris Manon, University of Kentucky
  • Andy Neitzke, Yale University
  • Christian Pauly, University of Nice
  • Karim Rega, University of Edinburgh
  • Gabriele Rembado, University of Maryland
  • Christoph Schweigert, Hamburg University
  • Nicola Tarasca, Virginia Commonwealth University
  • Valerio Toledano Laredo, Northeastern University
  • Bin Wang, Chinese University of Hong Kong
  • Katrin Wendland, Trinity College Dublin
  • Lutian Zhao, University of Maryland

Poster:

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