24-25 November 2016
Poitiers
Europe/Paris timezone

Abelian varieties and Minkowski-Hlawka theorem

25 Nov 2016, 10:20
50m
0-6 (Poitiers)

0-6

Poitiers

Board: 7
Exposé de 50 min

Speaker

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.

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