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SUMMARY:Florian K. Richter (Northwestern University)
DTSTART:20200603T081500Z
DTEND:20200603T094500Z
DTSTAMP:20260423T022932Z
UID:TorunETDS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TorunETDS/1/
 ">Dynamical generalizations of the Prime Number Theorem and disjointness o
 f additive and multiplicative actions</a>\nby Florian K. Richter (Northwes
 tern University) as part of Torun ETDS online seminar\n\n\nAbstract\nOne o
 f the fundamental challenges in number theory is to understand the intrica
 te way in which the additive and multiplicative structures in the integers
  intertwine. We will explore a dynamical approach to this topic. After int
 roducing a new dynamical framework for treating questions in multiplicativ
 e number theory\, we will present an ergodic theorem which contains variou
 s classical number-theoretic results\, such as the Prime Number Theorem\, 
 as special cases. This naturally leads to a formulation of an extended for
 m of Sarnak's conjecture\, which deals with the disjointness of actions of
  $(\\mathbb{N}\,+)$ and $(\\mathbb{N}\,*)$. This talk is based on joint wo
 rk with Vitaly Bergelson.\n
LOCATION:https://researchseminars.org/talk/TorunETDS/1/
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