Forthcoming events in this series


Thu, 04 Jun 2009
11:00
L3

Model Theory of the ring of adeles

Dr J. Derakhshan
(Oxford)
Abstract

I shall discuss joint work with Angus Macintyre on the model theory of the ring of adeles of a number field

Thu, 08 May 2008

11:00 - 12:00
SR1

Finite Fields and Model Theory

Jamshid Derakhshan
(Oxford)
Abstract

I will discuss some theorems of Chatzidakis, van den Dries, and Macintyre on definable sets over finite fields (Crelle 1992). This includes a geometric decomposition theorem for definable sets and a generalization of the Lang-Weil estimates, and uses model theory of finite and pseudo-finite fields.

If time permits, I shall mention a recent application of this work by Emmanuel Kowalski on new bounds for exponential sums (Israel Journal of Math 2007).

I would also like to mention some connections to the model theory of p-adic and motivic integrals and to general problems on counting and equidistribution of rational points.

Thu, 01 May 2008

11:00 - 12:00
SR1

tba

Tom Foster
(Oxford)