Asymptotic geometry at infinity of quiver varieties
Geometry and analysis of special structures on manifolds November 18, 2024 - November 22, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Asymptotic geometry at infinity of quiver varieties
Using an approach developed by Melrose, we will explain how to show that quiver varieties are quasi-asymptotically conical (QAC) provided some genericity assumption holds. Relying on this fine description of the geometry at infinity and a spectral gap for singular 3-Sasakian manifolds, we will then explain how the reduced L^2 cohomology of a quiver variety can be computed, confirming a prediction made by Vafa and Witten in 1994. This is a joint work with Panagiotis Dimakis.
Asymptotic geometry at infinity of quiver varieties
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