Skip to main content

Dynamical systems and number theory

Posted in
Speaker: 
Daniel El-Baz
Affiliation: 
Tel Aviv University/MPIM
Date: 
Fri, 21/09/2018 - 11:15 - 12:15
Location: 
MPIM Lecture Hall

This talk will be an introduction to homogeneous dynamics (more specifically Ratner's orbit classification theorem) 

and some of its recent applications to number theory, such as: 
 
(1) Oppenheim's conjecture for quadratic forms,  
(2) subconvexity for L-functions by Michel and Venkatesh,  
(3) gaps between fractional parts of square roots of positive integers by Elkies and McMullen.
© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A