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

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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 C<sup>2</sup>/G). This action
essentially lifts the actions of Nakajima and Grojnowski on the
cohomology of these spaces.  (Joint work with Tony Licata)