Time:14:00-15:00, Wednesday, November 15 2023
Venue:E4-201 & ZOOM
ZOOM ID:921 6725 8223
Passcode:064984
Speaker:Arnaud Plessis, BIMSA
Title:On a conjecture of Rémond
Abstract:As a very special case of a recent (and deep) conjecture due to Rémond, we expect that points of small (logarithmic, absolute) Weil height in Q(G_div)* belong to G_div, the division group of G, provided that the latter has finite rank. So far, the only way to approach it is based on arithmetic arguments. In the first part of this talk, I will explain why these arguments don't seem suitable to attack this conjecture. Next, I will explain my new approach, which is based on equidistribution arguments over algebraic fields of infinite degree over Q.