Geometric Representation Theory

Event Information Symplectic leaves for generalized affine Grassmannian slices
16:00 on Friday March 08, 2019
17:00 on Friday March 08, 2019
FI210, Fields Institute, 222 College St.
Alex Weekes

Perimeter Institute

Generalized affine Grassmannian slices are certain algebraic varieties, which arise as Coulomb branches for 3d N=4 quiver gauge theories as shown by Braverman-Finkelberg-Nakajima. They are natural generalizations of usual affine Grassmannian slices and so have many expected geometric properties, but not all of these are fully understood. I'll discuss recent work with Dinakar Muthiah, which shows that "open" generalized slices are smooth. As a consequence this establishes decompositions into symplectic leaves, as conjectured by Braverman-Finkelberg-Nakajima.