Time：09:30-11:30, Friday, Feb 17, 2023
ZOOM ID: 990 4106 7305
PASSCODE: 577552
Host: Dr. Chuanhao Wei, Institute for Theoretical Sciences, Westlake University
Speaker：Dr. Junliang Shen, Yale University
Biography: Junliang Shen finished his Ph.D at ETH Zurich under Rahul Pandharipande in 2018. He was a Moore Instructor at MIT from 2018-2021, before moving to Yale as an Assistant Professor. He works on algebraic geometry and related fields.
Title：Cohomology of the moduli of Higgs bundles
Abstract: I will discuss recent progress on cohomological structures for the moduli of Higgs bundles, which include a proof of the P=W conjecture concerning the non-abelian Hodge correspondence of curves. In the first part of the lecture, I will start with an introduction to the subject; then we will discuss in more details the ideas and tools which are developed to solve the problems.
