Poncelet games, confinement of algebraic integers, and hyperbolic Ax-Schanuel.

Thời gian: 10:00 đến 11:00 Ngày 22/08/2019

Địa điểm: B4-705, VIASM

Báo cáo viên: Prof. Yves Andre (Institut de Mathématiques de Jussieu, France) https://webusers.imj-prg.fr/~yves.andre/

Tóm tắt:

We shall theorize and exemplify the problem of torsion values of sections of abelian schemes. This « unlikely intersection problem » , which arises in various diophantine and algebro-geometric contexts, can be reformulated in a non-trivial way in terms of Kodaira-Spencer maps. A key tool toward its full solution is then provided by 
recent theorems of Ax-Schanuel type (joint work with P. Corvaja, U. Zannier, and partly Z. Gao).