Conference on 100 Years of Noetherian Rings

Topic: An Irregular Deligne–Simpson Problem
Speaker: Zhiwei Yun
Affiliation: Massachusetts Institute of Technology
Date: June 20, 2023

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 ℙ1
with a regular singularity and an irregular singularity (satisfying a condition called isoclinic). Here G
can be any complex reductive group. Perhaps surprisingly, the solution can be expressed in terms of representations of rational Cherednik algebras. This is joint work with Konstantin Jakob.

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