中科院数学与系统科学研究院
数学研究所
华罗庚数学重点实验室
华罗庚青年数学论坛报告
报告人： Dr. Junyi Xie（Rennes）
题 目：Determine the affine space by its automorphism group
时 间：
综合报告 2019.09.02（星期一），10:45-11:45
学术报告 2019.09.03（星期二），14:45-15:45
2019.09.05（星期四），13:30-14:30
地 点：数学院晨兴110室
Abstract : Whether a (quasi-)affine variety X is determined by its automorphism group Aut(X)? The answer is no in general. On the other hand, it has positive answer in many cases, especially when Aut(X) is large. In these lectures, we discuss this problem mainly when X is the affine space. We discuss two different approaches to attack this problem. One is to study commutative algebraic subsets of Aut(X), the other one it to study certain finitely generated subgroup of Aut(X) using p-adic method. The first approach works in any characteristic, but we ask the base field to be uncountable. The second approach works over any field of characteristic zero. My lectures are based on some joint work with S.Cantat and A.Regeta.
