M-Seminar: Derived autoequivalences of moduli spaces of sheaves on K3 surfaces
Speaker: Nicolas Addington (University of Oregon)
Abstract: Some years ago I constructed a new autoequivalence of the derived category of the Hilbert scheme of n points on a K3 surface using "P-functors." Later Donovan, Meachan, and I extended the construction to some moduli spaces of torsion sheaves, and illuminated the geometric meaning of the story. Now my student Andrew Wray and I can extend it to moduli spaces of sheaves of any rank, powered by a new proof of the standard results about those moduli spaces. We deform to a Hilbert scheme in one step, using twistor lines.
Dial-In Information
Meeting ID: 958 3425 4862.
Thursday, January 28, 2021 at 3:30pm to 5:00pm
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