Serre's Conjectures on the Number of Rational Points of Bounded Height
| JOINT IAS/PU NUMBER THEORY SEMINAR | |
| Topic: | Serre's Conjectures on the Number of Rational Points of Bounded Height |
| Speaker: | Per Salberger |
| 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.