Colloque des sciences mathématiques du Québec

30 octobre 2009 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

p-adic variation in the theory of automorphic forms

Colloque par Glenn Stevens

Automorphic forms provide powerful analytic tools for investigating subtle arithmetic properties of elliptic curves and other algebraic varieties. Nowadays this principle has been turned on its head, allowing us to apply arithmetic tools to gain insight into the existence and nature of associated automorphic forms. Wiles' proof of the modularity conjecture (from which Fermat's Last Theorem was derived) is just one well known example. In this talk we will explore the theme of p-adic variation through an investigation of simple concrete examples, and will discuss some of the unifying aspects this theme brings to arithmetic, geometry and analysis.


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