Colloque des sciences mathématiques du Québec

4 décembre 2009 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

Galois modules in arithmetic and geometry

Colloque par Erez Boas

At first, Galois module theory was about describing the algebraic structure of classical arithmetical objects like rings of algebraic integers and their groups of units. The theory acquired more interest when it appeared that the Galois structure of such modules is related to the behaviour of L-functions. In the 1990s it was shown that these relations could be generalised to "higher dimensional number theory", namely to relations among analogous objects arising from algebraic varieties equipped with a group action. In this talk we shall go over the basic results of the classical theory, present the geometric set-up and give indications on some current directions of research."


UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., salle SH-3420