|JOINT IAS/PU NUMBER THEORY SEMINAR|
|Topic:||Serre's Conjectures on the Number of Rational Points of Bounded Height|
|Affiliation:||Chalmers University of Technology|
|Date:||Thursday, April 28|
|Time/Room:||4:30pm - 5:30pm/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.