Algebraic Geometry Seminar

Title: An Algebraic Proof of the Looijenga-Lunts-Verbitsky Structure Theorem
Speaker: Ben Tighe
Speaker Info: UIC
Brief Description:
Special Note:

The geometry of a compact hyperkahler manifold is essentially determined by the Hodge theory of its second cohomology, along with its monodromy representation. In turn, work of Looijenga-Lunts and Verbitsky show that this data is encoded in the total Lie algebra using the underlying hyperkahler metric. In this talk, we will discuss how these results can be obtained algebraically. We will also outline how this proof works in the case of singular symplectic varieties.
Date: Wednesday, January 25, 2023
Time: 3:00pm
Where: Lunt 105
Contact Person: Yuchen Liu
Contact email: yuchenl@northwestern.edu
Contact Phone:
Copyright © 1997-2024 Department of Mathematics, Northwestern University.