10:00
Forthcoming events in this series
10:00
10:00
10:00
Finite Fields and Model Theory
Abstract
In these (three) lectures, I will discuss the following topics:
1. The theorems of Ax on the elementary theory of finite and pseudo-finite fields, including decidability and quantifier-elimination, variants due to Kiefe, and connection to Diophantine problems.
2. The theorems on Chatzidakis-van den Dries-Macintyre on definable sets over finite and pseudo-finite fields, including their estimate for the number of points of definable set over a finite field which generalizes the Lang-Weil estimates for the case of a variety.
3. Motivic and p-adic aspects.
10:00
Finite Fields and Model Theory
Abstract
In these (three) lectures, I will discuss the following topics:
1. The theorems of Ax on the elementary theory of finite and pseudo-finite fields, including decidability and quantifier-elimination, variants due to Kiefe, and connection to Diophantine problems.
2. The theorems on Chatzidakis-van den Dries-Macintyre on definable sets over finite and pseudo-finite fields, including their estimate for the number of points of definable set over a finite field which generalizes the Lang-Weil estimates for the case of a variety.
3. Motivic and p-adic aspects.
11:00
11:00
11:00
11:00
11:00
The real field with a power function and a dense multiplicative subgroup
11:00
The real field with a power function and a dense multiplicative subgroup
15:15
11:00
11:00
11:00
11:00
11:00