Fall 2016: The seminar takes place on Thursday 10:15-12:00 (at most).
19 January: Marco Rampazzo, Room KE-D225
26 January: Marco Rampazzo, Room KE-D225
2 February: Riccardo Moschetti, Room
9 February: Sammy A. Soulimani, Room
June, 10:15-12:00, Room : D-225
equation and automorphisms of Hilbert schemes.
Abstract: I will
report on recent results in collaboration with Samuel Boissière, Andrea
Cattaneo and Marc Nieper-Wisskirchen on the
automorphism group of the Hilbert scheme of two points on a generic K3 surface of any polarization.
In this case the Picard number of the Hilbert scheme is two, which is the minimal possible.
In particular by using ampleness results of Bayer-Macri and a detailed study of the isometries of the Picard lattice, I show the existence of
non-natural non-symplectic involutions on some Hilbert scheme, depending on the degree of the polarization. In all the results the
solutions of certain Pell's equation play a fundamental role. Time permitting I will give some overview on the situation for higher
dimension which is the PhD topic of Alberto Cattaneo.
Friday 2nd June, 10:15-12:00, Room : D-225
Speaker: Samuel Boissière
Title: Cubic hypersurfaces and hyperkaehler manifolds uniformized by the 10-dimensional complex ball.
Abstract: In a famous paper, Allcock, Carlson and Toledo described the moduli space of cubic threefolds as an arithmetic
quotient of the complementary of a hyperplane arrangement in a 10-dimensional complex ball. In this talk, I will
give an interpretation of this moduli space as the space parametrizing the deformations of non-symplectic
automorphisms of order three acting on some classical family of polarized hyperkaehler
manifolds. This is a work in collaboration with Chiara Camere and Alessandra Sarti.