Séminaires : Séminaire de Systèmes Dynamiques

Equipe(s) : gd,
Responsables :H. Eliasson, B. Fayad, R. Krikorian, P. Le Calvez
Email des responsables :
Salle : ZOOM ID 857 3353 2552 (code : 666061)
Adresse :Campus Pierre et Marie Curie
Description

Archive avant 2015

Hébergé par le projet Géométrie et Dynamique de l’IMJ


Orateur(s) Florian Richter - Northwestern,
Titre Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative actions
Date19/03/2021
Horaire14:00 à 15:45
Diffusion
RésumeOne 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 Mobius randomness conjecture, which deals with the disjointness of actions of (N,+) and (N,*). This talk is based on joint work with Vitaly Bergelson.
SalleZOOM ID 857 3353 2552 (code : 666061)
AdresseCampus Pierre et Marie Curie
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