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Oberseminar WiSe 2011/12 Zusammenfassung des Vortrags von David Ploog

K3 surfaces: quadratic forms and Fourier-Mukai partners

The geometry of K3 surfaces is to a large extent governed by lattices due to the Torelli theorem. Orlov showed that the same is true if one studies K3 surfaces from a derived point of view. In this talk, I will present some links between number theory, lattices and FM partners of K3 surfaces, following Oguiso. His work ultimately also led to a count of FM partners of polarised K3 surfaces (joint work with Klaus Hulek).