73882必赢网页版(中国)欧洲杯

Research

Algebra & Combinatorics Seminar

Functional Transcendence and the Ax-Schanuel Theorem II

Speaker: Ziyang GAO (CNRS)
Time: Dec 12, 2019, 14:30-16:00
Location: Conference Room 415, Hui Yuan 3#

Time: Dec. 10, 2019, 15:30-17:00; Dec. 12, 2019 14:30-16:00

The goal of these two talks is to present a functional transcendence result. We will prove the Ax-Schanuel theorem for abelian varieties over the complex field, which has numerous applications in number theory.

The first talk will focus on the o-minimal geometry. At the end we will explain the Pila-Wilkie counting theorem. The second talk will explain the Ax-Schanuel theorem for complex abelian varieties. We will start with the statement and give its proof by the o-minimal geometry.