Journées de Géométrie Algébrique Poitiers-Bordeaux

Abelian varieties and Minkowski-Hlawka theorem

25 nov. 2016, 10:20

50m

0-6 (Poitiers)

Panneau: 7

Exposé de 50 min

Orateur

Prof. Pascal Autissier

Description

A classical theorem of Minkowski and Hlawka states that there exists a lattice in $R^n$ with packing density at least $2^{1-n}$. Buser and Sarnak proved the analogue of this result in the context of complex abelian varieties. Here we give an improvement of this analogue; this shows a conjecture of Muetzel.