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Categorified Heisenberg actions on Hilbert schemes

Cautis, S (Columbia, NY)
Monday 11 April 2011, 11:30-12:30

Seminar Room 1, Newton Institute


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^2/G). This action essentially lifts the actions of Nakajima and Grojnowski on the cohomology of these spaces. (joint with Tony Licata)


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