# abstract

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)