Colloque des sciences mathématiques du Québec

13 avril 2007 de 16 h 00 à 18 h 00 (heure de Montréal/Miami) Sur place

Representation densities and arithmetic geometry

Colloque par Stephen S. Kudla (University of Toronto)

Siegel introduced local representation densities in his quantitative study of the number of representations of one integral quadratic form by another. After reviewing this classical theory, we will introduce secondary invariants, the derivatives of representation densities which seem to contain new arithmetic information. We will discuss some examples from joint work with M. Rapoport in which these derivatives of representation densities are related to intersection numbers in arithmetic geometry.


CRM, UdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, salle 6214