A model theory for adeles and connections to number theory
A model theory for adeles and connections to number theory

Jamshid Derakhshan, Oxford University
Fine Hall 314
This is joint work with Angus Macintyre. Using padic model theory and other tools, we develop a model theory for the adeles of a number field. I will state some of the main results, and discuss some recent emerging connections to Serre's work on the number of solutions modulo p of a variety, to analytic properties of zeta and Lfunctions, and to adelic Poisson summation formulas.