Skip to main
Math equations
George Mason University
Events

Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Geometry at infinity of quiver varieties

Nov 7, 2025, 1:30 - 2:30 PM

 

Speaker: Panagiotis Dimakis, University of Maryland

Title: Geometry at infinity of quiver varieties 

 

Abstract: Using an approach developed by Melrose to study the geometry at infinity of the Nakajima metric on the reduced Hilbert scheme of points on C2, we show that the Nakajima metric on a quiver variety is quasi-asymptotically conical (QAC) whenever it’s defining parameters satisfy an appropriate genericity assumption. As such, it is of bounded geometry and of maximal volume growth. Combining this with the work of Kottke and Rochon, we compute its reduced L2-cohomology and prove the Vafa–Witten conjecture. This is joint work with Frederic Rochon.

 

Date/Time: Friday November 7, 1:30pm

Location: Exploratory Hall Room 4208

* The programs and services offered by George Mason University are open to all who seek them. George Mason does not discriminate on the basis of race, color, religion, ethnic national origin (including shared ancestry and/or ethnic characteristics), sex, disability, military status (including veteran status), sexual orientation, gender identity, gender expression, age, marital status, pregnancy status, genetic information, or any other characteristic protected by law. After an initial review of its policies and practices, the university affirms its commitment to meet all federal mandates as articulated in federal law, as well as recent executive orders and federal agency directives.