Speaker：Yuri Bilu（Université de Bordeaux）

Time：2021-04-13 21:00

Location：Tencent Meeting ID：732 492 041（No Password）

Abstract:

Recently Vesselin Dimitrov proved the Schinzel-Zassenhaus conjecture (1965): if a is a non-zero complex algebraic integer of degree d, not a root of unity, then |a|  > 1+c/d, where c is an absolute constant. Here |a| is the "house" of a, the maximum of absolute values of its conjugates over Q. In my talk I will explain the work of Dimitrov. Dimitrov's argument is very elementary. To understand my talk, one needs no special knowledge beyond basic university courses of Complex Analysis and Number Theory.