Matthew Morrow : Duality of arithmetic surfaces.

Posted by Alina Carmen Cojocaru , part of the Number Theory Seminar.

At

Oct. 24, 2011, 3 p.m.

In

SEO 612

Abstract

The ring of adeles of a number field is self-dual, offering an arithmetic analogue of Serre duality. I will show that arithmetic surfaces satisfy similar dualities, using the higher adeles introduced by A. Parshin and A. Beilinson.