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University of Sydney Algebra Seminar

Konstantin Jakob

Friday 10 November, 12-1pm, Place: Carslaw 173

A Deligne-Simpson problem for irregular G-connections over P^1

The Deligne-Simpson problem asks for a criterion for the existence of a connection on a punctured P^1 with prescribed singularities. I will explain joint work with Zhiwei Yun on a generalization of this problem for G-connections on P^1 with two singularities, only one of which is a regular singularity, where G is any complex reductive group. We give a geometric and a representation-theoretic existence criterion, and use them to solve the Deligne-Simpson problem in many cases.