Affine Sieve and Expanders

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).