3d mirror symmetry of vertex functions for bow varieties
Organizers
Speaker
Hunter Dinkins
Time
Thursday, May 8, 2025 10:00 AM - 11:00 AM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
Cherkis bow varieties are a class of symplectic varieties generalizing type A Nakajima quiver varieties. Unlike the latter, bow varieties are closed under 3d mirror symmetry and are thus well-suited for discovering and proving mirror symmetry statements. One such statement concerns vertex functions, which encode curve counts in bow varieties. I will state the conjectural 3d mirror symmetry of vertex functions. Then I will explain the proof, joint with Tommaso Botta, of this statement for finite type A bow varieties.