# abstract

JOINT IAS/PU NUMBER THEORY SEMINAR | |

Topic: | Affine Sieve and Expanders |

Speaker: | Alireza Golsefity |

Affiliation: | Princeton University |

Date: | Thursday, March 10 |

Time/Room: | 4:30pm - 5:30pm/Fine Hall -- 214 |

I will talk about the fundamental theorem of affine sieve (joint with Sarnak). The main black box in the proof of this result will be also explained. It is a theorem on a necessary and sufficient condition for a finitely generated subgroup of SL(n,Q) under which the Cayley graphs of such a group modulo square free integers form a family of expanders (joint with Varju).