seminar: Moduli and periods of double EPW-sextics

speaker: Kieran Gregory O'Grady (Sapienza Universita' di Roma)

abstract: EPW-sextics are special sextic hypersurfaces in 5-dimensional projective space; such a sextic comes equipped with a double cover - a double EPW-sextic. A generic double EPW-sextic is a smooth deformation of Hilb²(K3). Double EPW-sextics are similar to double planes branched over a sextic curve and also to varieties of lines on cubic 4-folds. We will report on work in progress that aims to prove a Torelli Theorem for double EPW-sextics. We will also discuss relations with a conjectural birational Torelli Theorem for deformations of Hilb²(K3).

timetable:
Tue 24 Jun, 10:45 - 11:45, Aula Dini
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