Dynamical Systems Seminar

Title: Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions
Speaker: Florian Richter
Speaker Info: Northwestern University
Brief Description: Dynamics Day Lecture
Special Note:

One of the fundamental challenges in number theory is to understand the intricate way in which the additive and multiplicative structures in the integers intertwine. We will explore a dynamical approach to this topic. After introducing a new dynamical framework for treating questions in multiplicative number theory, we will present an ergodic theorem which contains various classical number-theoretic results, such as the Prime Number Theorem, as special cases. This naturally leads to a formulation of an extended form of Sarnak's conjecture, which deals with the disjointness of actions of (N,+) and (N,*). This talk is based on joint work with Vitaly Bergelson.
Date: Tuesday, March 03, 2020
Time: 1:00pm
Where: Lunt 105
Contact Person: Laura DeMarco
Contact email: demarco@northwestern.edu
Contact Phone:
Copyright © 1997-2024 Department of Mathematics, Northwestern University.