SEARCH Events
Event Title: OR
Speaker Last Name:    OR
Year: (yyyy)


Mathematics Colloquium

EVENT DETAIL

Date:  Tuesday, February 02, 2016

Title:  Super-approximation and its applications.

Abstract:  Let G be a finitely generated subgroup of GL(n,Q). Under certain algebraic conditions, strong approximation describes the closure of G with respect to its congruence topology. Super-approximation essentially tells us how dense G is in its closure! Here is my plan for this talk: 1. I will start with the precise formulation of this property. 2. Some of the main results on this subject will be mentioned. 3. Some of the (unexpected) applications of super-approximation will be mentioned, e.g. Banach-Ruziewicz problem, orbit equivalence rigidity, variation of Galois representations. 4. Some of the auxiliary results that were needed in the proof of super-approximation will be mentioned: sum-product phenomena, existence of small solutions.


Speaker:  Alireza Salehi Golsefidy
Institution:  UCSD

 

Back to current Colloquium List
Back to UM Math seminars page

   

Department of Mathematics   |   2074 East Hall   |  530 Church Street  
Ann Arbor, MI 48109-1043
Phone: 734.764-0335   |   Fax: 734.763-0937

The page last modified
Site errors should be directed to math-webmaster@umich.edu