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QGM seminar by Michael McBreen (Aarhus University)

Tile: Deletion-contraction triangles for Hausel-Proudfoot varieties

2019.10.21 | Jane Jamshidi

Date Wed 23 Oct
Time 16:15 17:15
Location 1531-215 (Aud-D3)


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.