Time：14:00-15:45, Friday, November 29 2024
Venue: E10-211
Speaker：Sinnou David, University Pierre et Marie Curie
Biography: Sinnou David joined the faculty of the University Pierre et Marie Curie, Paris in 1989 as a Maître de Conférences and then as a professor in 2006.
He is specialized in Diophantine geometry and among his main contribution, one can mention: - in Baker's theory, with a full solution of a conjecture of S. Lang on values of rational functions of elliptic curves;
-in height theory, a full solution on a generalized conjecture of Bogomolov on the height of
subvarieties of semi-abelian group schemes;
-in height theory again an almost optimal solution of Lehmer's problem in dimension at least two (the only previously known case being the dimension one).
-on the arithmetic of function fields the first cases of quadratic independence of periods of Drinfel'd modules.
Title: Small points and unit groups
Abstract: We discuss progress towards conjectures of Bertrand and Villegas on arithmetic properties of subgroups of units of a number field, suggesting that one can expect lower bounds interpolating from the question of Lehmer (one dimensional subgroups) all the way up to lower bounds for the regulator (full unit group).
