Algebraic Geometry Seminar, 1999
Vladimir Baranovsky (University of Chicago),
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.