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.