Rational points of bounded height and Mixing

Hee Oh

Brown University

Brandeis University

Thursday, September 21, 2006

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall

Abstract: We will talk about the 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 in algebraic geometry or adeles will be assumed. If time permits, I will also discuss a new approach to Manin's conjecture based on Ratner's theory of unipotent flows.

Home Web page: Alexandru I. Suciu Posted: September 12, 2006
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