Speaker:  Prof. Zhiwei Yun (MIT)

 Title:  An irregular Deligne-Simpson problem and Cherednik algebras

Abstract:  The Deligne-Simpson problem asks for a criterion of the existence of connections on an algebraic curve with prescribed singularities at punctures. We give a solution to a generalization of this problem to G-connections on P^1 with a regular singularity and an irregular singularity (with a condition called isoclinic). Here G can be any complex reductive group. Perhaps surprisingly, the solution is expressed in terms of rational Cherednik algebras. This is joint work with Konstantin Jakob.