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Dynamical systems and number theory

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Speaker: 
Daniel El-Baz
Affiliation: 
Tel Aviv University/MPIM
Date: 
Fri, 2018-09-21 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.
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