EVENT DETAILS AND ABSTRACT

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

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.