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Oberseminar SoSe 2010 Zusammenfassung des Vortrags von D. Ploog

Equivariant Fourier-Mukai transforms and Hilbert schemes

We will look at varieties with finite group actions, from the point of view of derived categories. There, a crucial ingredient is the McKay correspondence. We will also explain how groups of autoequivalences can be compared, taking the group action into account. There are several applications, the most interesting one being Hilbert schemes of points on K3 surfaces.