Categorified Heisenberg actions on Hilbert schemes -- Sabin Cautis, October 22, 2010

I will describe an action of a quantized Heisenberg algebra on the (derived) categories of coherent sheaves on Hilbert schemes of ALE spaces (crepant resolutions of C2/G). This action essentially lifts the actions of Nakajima and Grojnowski on the cohomology of these spaces. (Joint work with Tony Licata)