Algebraic Geometry Seminar
Anthony Licata
Stanford
Heisenberg algebras, Hilbert Schemes, and Graphical Categorifications
Abstract: For every finite subgroup G of SU(2) there is an associated
infinite dimensional Heisenberg algebra. Nakajima and Grojnowski
constructed representations of these Heisenberg algebras on the cohomology
of Hilbert schemes of points on the corresponding ALE space. We give a
graphical categorification of the Heisenberg algebra, and prove that this
categorification acts on the derived categories of Hilbert schemes. This is
joint work with Sabin Cautis.
Thursday December 2, 2010 at 4:00 PM in SEO 636