Localisation

Adresses

Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Holomorphic curves in Shimura varieties




Date(s) : 15/01/2019   iCal
11h00 - 12h00

The Bloch-Ochiai theorem states that the Zariski closure of an holomorphic curve in an abelian variety is a translate of an abelian subvariey. In this talk we will present an anaogue of this result for Shimura varieties, the formulation of which was first proposed, and proved in the cocompact case, by Ullmo and Yafaev; along with the Bloch-Ociai theorem, it draws inspiration from the hyperbolic Ax-Lindemann-Weierstrass theorem. We will present the main points of the proof, which relies on the Ax-Lindemann-Weierstass theorem as well as the Pila-Wilkie counting theorem for sets definable in o-minimal structures. No prior knowledge of the topics will be assumed.

http://www.ucl.ac.uk/maths/mathematics-mphilphd/student-list/michele-giacomini

Catégories


Secured By miniOrange