SL2-actions, modular hyperbolas and Kloosterman sums

Speaker: 

Ilya D. Shkredov

Affiliation: 

Moscow State University

Date: 

Wed, 13/11/2019 - 3:00pm

Venue: 

RC-4082, The Red Centre, UNSW

Abstract: 

We are going to talk about the connection between growth in $SL2(F)$ for various fields $F$ and a series of problems of Number Theory and Additive Combinatorics such as Zaremba's conjecture (original and modular) from the theory of continued fractions, distribution of points onto modular hyperbolas and estimates of bilinear forms of Kloosterman sums.

School Seminar Series: