Seminar:
Geometry, Symmetry and Physics
Event time:
Monday, April 28, 2025 - 4:30pm
Location:
KT 801
Speaker:
Oscar Kivinen
Speaker affiliation:
Aalto University
Event description:
Haiman’s construction of the Hilbert scheme of points on the plane and its isospectral variant has several different generalizations to other reductive Lie algebras. We explore these constructions and single out a particularly interesting candidate among these. This yields a class of varieties with conical symplectic singularities. In types ABC, and conjecturally in general, the varieties we propose are hyper-Kähler rotations of (possibly singular) Calogero–Moser spaces and their fixed points correspond to two-sided cells in the Weyl group. Time permitting, I will explain how the geometry of these varieties encodes Hochschild homology of Soergel bimodules as well as topological properties of affine Springer fibers.
Research Area(s):
Algebraic Geometry
Representation Theory