# Bundles and Conformal Blocks with a Twist

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# Bundles and Conformal Blocks with a Twist

13 - 17 Jun 2022
 ICMS, Bayes Centre, Edinburgh Open in google maps
Programme coming soon.

### Organising Committee

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

• 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.

Resources

## Programme

Full programme coming soon.

 Speakers 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.