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Deletion-contraction triangles for Hausel-Proudfoot varieties

Michael McBreen (Aarhus University)
Seminar
Onsdag, 23 oktober, 2019, at 16:15-17:15, in Aud. D3 (1531-215)
Beskrivelse:
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.
Organiseret af: QGM
Kontaktperson: Cristiano Spotti & Gergely Bérczi