Quebec Mathematical Sciences Colloquium

December 4, 2009 from 16:00 to 18:00 (Montreal/Miami time) On location

Galois modules in arithmetic and geometry

Colloquium presented by 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., room SH-3420