Chiara Damiolini, Rutgers University – Geometric Methods in Representation Theory Seminar

Title: Twisted conformal blocks

Abstract: Let G be a simple and simply connected algebraic group over a field. We can attach to a n-tuple of representations of G the sheaf of conformal blocks: a vector bundle on M_{g,n} whose fibres are identified with global sections of a certain line bundle on the stack of G-torsors. We generalize the construction of conformal blocks to the case in which G is replaced by a group H defined over curves in terms of covering data. In this case the associated conformal blocks define a sheaf on a Hurwitz space and have properties analogous to the classical case.