Quebec Mathematical Sciences Colloquium

April 13, 2007 from 16:00 to 18:00 (Montreal/EST time) On location

Representation densities and arithmetic geometry

Colloquium presented by 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, room 6214