When:
Wednesday, January 22, 2025
3:00 PM - 4:00 PM CT
Where: Lunt Hall, 107, 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: Hodge symmetries of singular varieties
Abstract: The Hodge diamond of a smooth projective complex variety exhibits fundamental symmetries, arising from Poincaré duality and the purity of Hodge structures. In the case of a singular projective variety, the complexity of the singularities is closely related to the symmetries of the analogous Hodge-Du Bois diamond. For example, the failure of the first nontrivial Poincaré duality is reflected in the defect of factoriality. Based on joint work with Mihnea Popa, I will discuss how local and global conditions on singularities influence the topology of algebraic varieties.