SMS scnews item created by Stephan Tillmann at Tue 15 Mar 2016 0833
Type: Seminar
Distribution: World
Expiry: 14 Jun 2016
Calendar1: 16 Mar 2016 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Twisted multiple recurrence and patterns in large sets
Auth: tillmann@p710.pc (assumed)

Geometry & Topology

Twisted multiple recurrence and patterns in large sets

Kamil Bulinski

Wednesday 16 March from 12:00–13:00 in Carslaw 535A

Please join us for lunch after the talk!

Abstract: Recurrence is a fundamental notion in Ergodic Theory and Dynamical systems. It has a strong relationship with combinatorial number theory, as was first shown by Furstenberg when he proved a multiple recurrence result to deduce Szemeredi's theorem on arbitrarily long arithmetic progressions in dense subsets of the integers. After demonstrating some classical recurrence results and their arithmetic corollaries, I will present some new “twisted” multiple recurrence results obtained with Björklund and their applications to images of large sets under quadratic forms. The proofs rely on Ergodic theorems for random walks on certain arithmetic lattices established by Benoist-Quint.