Yuri Tschinkel : Igusa integrals and volume asymptotics in analytic and adelic geometry

Posted by Emily Dumas , part of the Departmental Colloquium.

At

Sept. 17, 2010, 3 p.m.

In

SEO 636

Abstract

I will explain how to estimate volumes of height balls in analytic varieties over local fields and in adelic points of algebraic varieties over number fields, relating the Mellin transforms of height functions to Igusa integrals and to global geometric invariants of the underlying variety. In the adelic setting, this involves the construction of general Tamagawa measures. (joint work with A. Chambert-Loir)