Logo

Mathematical Sciences Research Institute

Home » Open ended seminar: Expansion in linear groups and sum-product

Seminar

Open ended seminar: Expansion in linear groups and sum-product April 28, 2015 (02:00 PM PDT - 04:30 PM PDT)
Parent Program:
Location: MSRI: Baker Board Room
Speaker(s) Alireza Salehi Golsefidy (University of California, San Diego)
Description No Description
Video
No Video Uploaded
Abstract/Media

Let S be a finite symmetric subset of GL(n,Z[1/q]) and G be the group generated by S. In this talk I will explain the necessary and sufficient condition under which the Cayley graphs Cay(G mod p^m,S) form a family of expanders as p runs through primes (coprime with q) and m runs through positive integers. I will also explain the related sum-product result which is based on a new method by Lindenstrauss and Varjú.

No Notes/Supplements Uploaded No Video Files Uploaded