Bundles and Conformal Blocks with a Twist

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Bundles and Conformal Blocks with a Twist

 13 - 17 Jun 2022
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ICMS, Bayes Centre, Edinburgh


Programme coming soon.

Organising Committee

  • Chiara Damiolini, University of Pennsylvania
  • Johan Martens, University of Edinburgh
  • Swarnava Mukhopdadhyay, Tata Institute for Fundamental Research

Scientific Advisory Committee

  • Iain Gordon, University of Edinburgh
  • Jochen Heinloth, Universität Duisburg-Essen
  • Frances Kirwan, University of Oxford
  • Shrawan Kumar, University of North Carolina at Chapel Hill


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 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 confomal 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 conference is the first activity of its kind focused on this development.


Full programme coming soon.

Jochen Heinloth, Universität Duisburg-Essen Introductory Mini-Course on Parahoric Torsors
Jørgen Andersen, Centre for Quantum Mathematics, SDU TBC
Vikram Balaji, Chennai Mathematical Institute Degenerations of $G$-torsors and Bruhat-Tits group schemes
David Baraglia*, University of Adelaide
Philip Boalch, IMJ-PRG Paris Diagrams, fission spaces and global Lie theory
Prakash Belkale, University of North Carolina at Chapel Hill Rigid local systems and the multiplicative eigenvalue problem
Emily Cliff, Université de Sherbrooke TBC
Arzu Boysal, Bogazici University TBC
Tanmay Deshpande, Tata Institute for Fundamental Research Crossed modular categories and the Verlinde formula for twisted conformal blocks
Gerd Faltings, MPI Bonn Algebraic Loop groups
Angela Gibney, University of Pennsylvania Vector bundles of VOA conformal blocks on the moduli space of stable pointed curves of genus g
Jiuzu Hong, University of North Carolina at Chapel Hil
Marina Logares, Universidad Complutense de Madrid TBC
Christian Pauly, Université Côte d'Azur TBC
Ana Peon, University of Birmingham TBC
Michael Rapoport, University of Maryland Purity for $\mathcal G$-bundles
Matt Szczesny, Boston University Conformal blocks for complex surfaces and beyond
Constantin Teleman, University of California, Berkeley Higher Verlinde formula and Mirror symmetry
Katrin Wendland, Trinity College Dublin TBC
Richard Wentworth, University of Maryland TBC
Xinwen Zhu, California Institute of Technology TBC
Olga Trapeznikova, University of Geneva The Verlinde formula and K-theory of the moduli space of parabolic vector bundles.
* Tentatively accepted the invitation.