Conférence "Zeta Functions"21 - 25 juin 2010Moscou, Russie |
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)
Jeudi 24 juin, 18:00 - 19:00
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.