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Hilbert's tenth problem for function fields

Presented by: 
K Eisentrager [Michigan]
Date: 
Wednesday 6th April 2005 - 14:00 to 15:00
Venue: 
INI Seminar Room 1
Abstract: 

We will discuss how elliptic curves of rank one can be used to prove undecidability of Hilbert's Tenth Problem for function fields of characteristic zero, such as R(t) and C(t_1,...,t_n) (n at least 2).

The approach for function fields of positive characteristic is very different, and we will sketch some of the methods used there.

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons