Conformal blocks for Galois covers of algebraic curves

2018.07.11（星期三），15:30-16:30

点：数学院南楼N913

要：We study a twisted theory of conformal blocks attached to Γ-curves with marked Γ-orbits and an action of Γ on a simple Lie algebra g, where Γ is a finite group. We prove that if Γ stabilizes a Borel subalgebra of g, then Propagation Theorem and Factorization Theorem hold. We endow a projectively flat connection on the sheaf of twisted conformal blocks attached to a smooth family of pointed Γ-curves; in particular, it is locally free. We also prove that the sheaf of twisted conformal blocks on the stable compactification of Hurwitz stack is locally free. This is a joint work with S.Kumar.