3d mirror symmetry for characteristic classes of bow varieties

Abstract: One of the predictions of N=4 d=3 mirror symmetry concerns characteristic classes, namely so-called stable envelopes of singularities. We will explore the notion of stable envelopes, their role in enumerative geometry and representation theory. Then we will discuss Cherkis bow varieties that come in pairs (3d mirror pairs) such that the elliptic stable envelopes on two spaces in a pair conjecturally "coincide" (after transposition, switching equivariant and dynamical variables, and inverting ℏ).

algebraic geometrysymplectic geometry

Audience: researchers in the topic

M-seminar