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

Bio:

Zhiwei Yun joined MIT as a Professor since January 2018.
Yun received his Bachelor’s degree from Peking University in 2004, and the PhD degree from Princeton University in 2009, under the supervision of R.MacPherson. He was a member of the Institute for Advanced Study 2009-2010, and a CLE Moore Instructor at MIT 2010-2012.

Video：http://archive.ymsc.tsinghua.edu.cn/pacm_lecture?html=An_irregular_Deligne_Simpson_problem_and_Cherednik_algebras.html