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
Video Link:https://video.ias.edu/nt/salberger

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.