Rational Points of Bounded Height and Adelic Mixing

IAS/PRINCETON NUMBER THEORY SEMINAR
Topic:Rational Points of Bounded Height and Adelic Mixing
Speaker:Hee Oh
Affiliation:California Institute of Technology and IAS
Date:Wednesday, February 22
Time/Room:2:00pm - 3:00pm/Fine Hall 314, Princeton University

We will talk about a proof of Manin's conjecture on the asymptotic density of rational points of bounded height for the special case of a compactification of a semisimple algebraic group defined over a number field. The main tool is the mixing property (or equivalently, the decay of matrix coefficients) of the quasi-regular representation of the associated Adele group. No background on algebraic geometry or adeles will be assumed. (This is a joint work with Gorodnik and Maucourant)