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 was the first activity of its kind focused on this development.