JOINT IAS/PU NUMBER THEORY SEMINAR

Serre's Conjectures on the Number of Rational Points of Bounded Height
Per Salberger
Chalmers University of Technology
Date & Time: 
Thu, 04/28/2011 - 16:30 - 17:30
Location: 
S-101

We give a survey of recent results on conjectures of Heath-Brown and Serre on the asymptotic density of rational points of bounded height. The main tool in the proofs is a new global determinant method inspired by the local real and p-adic determinant methods of Bombieri-Pila and Heath-Brown.