An irregular Deligne-Simpson problem and Cherednik algebras

Speaker:Zhiwei Yun (MIT)
Schedule:Fri., 10:00-11:00 am, Sept. 22, 2023
Venue:Zoom Meeting ID: 271 534 5558 Passcode: YMSC


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.


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.