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Seminario / Boissière & Sarti

SEMINARI DI GEOMETRIA ALGEBRICA

Nell'ambito del seminario congiunto di geometria algebrica organizzato dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,

Mercoledi' 1 marzo

presso l'Aula C del Dipartimento di Matematica dell'Università  di Milano si terranno i seguenti seminari:
alle 13:30

Alessandra Sarti
(Université de Poitiers)
Explicit Schoen surfaces

Abstract: I will present an explicit geometric construction of some special surfaces of general type described by Schoen in 2007, that occupy an important
place in the geography of surfaces of general type. I will show how the construction involves the Segre cubic, the Igusa quartic and K3 quartic surfaces with fifteen nodes.
This is a joint work with Carlos Rito and Xavier Roulleau.
alle 14:45
Samuel Boissière
(Université de Poitiers)
Isogenies and transcendental Hodge structures of K3 surfaces


Absatrct: Every Hodge class on a product of two complex projective K3 surfaces induces a homomorphism of rational Hodge structures between the respective transcendental lattices. Under the hypothesis that this morphism is an isometry of rational quadratic spaces, Mukai, Nikulin and recently Buskin have proven that the corresponding Hodge class is algebraic, confirming the Hodge conjecture in this context. In this talk, I will show that the hypothesis of isometry is too restrictive by constructing geometrically some families of isogenies between K3 surfaces whose transcendental Hodge structures are nonisometric. This is a collaboration with AlessandraSarti and Davide Cesare Veniani
21 febbraio 2017
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