Tile: Deletion-contraction triangles for Hausel-Proudfoot varieties
2019.10.21 |
Date | Wed 23 Oct |
Time | 16:15 — 17:15 |
Location | 1531-215 (Aud-D3) |
Abstract:
I will discuss recent work with Zsuzsanna Dancso and Vivek Shende, in which we study the perverse filtration on the cohomology of the compactified Jacobian of a nodal curve, and the weight filtration on the cohomology of a related moduli of microlocal sheaves on the curve. I will describe the behavior of these filtrations under smoothings and normalizations of the curve, and explain how this is an instance of deletion-contraction relations prevalent in graph theory.