Joint Hilbert Scheme Seminar - Vladimir Baranovsky

Friday May , 4:00pm-5:30pm
Room 2-142

Moduli of Sheaves on Surfaces and the Action of the Oscillator Algebra

This talk will be devoted to a generalization of the work by Nakajima and Grojnowski who proved that the cohomology groups of Hilbert schemes of points on an algebraic surface X possess an action of a certain Heisenberg/Clifford algebra constructed from the cohomology of X. We will show how to construct a similar action on the cohomology of the moduli spaces of torsion-free sheaves on S. Related open questions will be mentioned. The technical machinery required for understanding the talk will be kept to minimum.

A.Iarrobino, S.L. Kleiman, organizers

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