## Departmental Colloquium

Mattias Jonsson

University of Michigan

Complex and non-Archimedean geometry

**Abstract:**The common zero set of a collection of complex polynomials defines an analytic object, in nice cases a complex manifold. Berkovich spaces appear when trying to do the same thing for polynomials with coefficients in a non-Archimedean field, such as p-adic numbers or Laurent series. I will explain how Berkovich spaces can sometimes be used to study problems over the complex numbers and discuss some non-Archimedean analogues of results in complex geometry.

Friday February 22, 2013 at 3:00 PM in SEO 636