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Oberseminar SoSe 2012 Zusammenfassung des Vortrags von François Charles (Rennes, FRA)

The Tate conjecture for holomorphic symplectic varieties

Recent work of D. Maulik has shown that K3 surfaces satisfy Tate's conjecture over fields of sufficiently large characteristic. In this talk, we will show how to extend this result by proving the Tate conjecture for holomorphic symplectic varieties of any dimension over fields of characteristic at least 5.