When:
Wednesday, April 2, 2025
3:00 PM - 4:00 PM CT
Where: Lunt Hall, 103, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Post Docs/Docs - Graduate Students
Contact:
Yuchen Liu
(847) 491-5553
Group: Department of Mathematics: Algebraic Geometry Seminar
Category: Lectures & Meetings
Title: Non-isomorphic compactifications of moduli of cubic surfaces and threefolds
Abstract: The moduli space of cubic surfaces and cubic threefolds have different reincarnations in algebraic geometry, and can be compactified via geometric invariant theory or via looking at the minimal compactification of their ball quotient models. These compactifications are singular, and resolved respectively by the Kirwan blowup and the toroidal compactification. We show that these smooth compactifications have equal Betti numbers, but are non-isomorphic. Based on joint works with Casalaina-Martin, Hulek, and Laza.