CNRS Poncelet

Conférence "Zeta Functions"

21 - 25 juin 2010

Moscou, Russie

RAS Poncelet

Organisateurs: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institut des Problèmes de Transmission de l'Information), Alexey Zykin (Laboratoire Poncelet, Haute Ecole d'Economie)

English Russian

Unstable lattices and estimate of the regulator

Roman Budylin (Moscou)

Jeudi 24 juin, 18:00 - 19:00

Résumé

In the set of all lattices I define subset of principial unstable lattices. Their Haar measure can be easely calculated. Comparing this with the measure of all lattices we get some inequality between regulator and discriminant of number field. This inequality looks like Brauer-Siegel theorem but as opposed to it holds for one field.

Laboratoire Poncelet