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Oberseminar WiSe 2011/12 Zusammenfassung des Vortrags von Andreas Krug (Augsburg)

Extension groups of tautological sheaves on Hilbert schemes

We will give a survey of the work of Bridgeland-King-Reid, Haiman and Scala on the derived McKay correspondence for Hilbert schemes of points on surfaces. Using these results we explain how to get a formula expressing the extension groups of tautological sheaves on the Hilbert scheme in terms of extension groups on the underlying surface.