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SUMMARY:Florian K. Richter (Northwestern University)
DTSTART:20200603T081500Z
DTEND:20200603T094500Z
DTSTAMP:20260422T225929Z
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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SUMMARY:Olivier Ramaré (CNRS / Aix Marseille University)
DTSTART:20200616T081500Z
DTEND:20200616T094500Z
DTSTAMP:20260422T225929Z
UID:TorunETDS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TorunETDS/3/
 ">A gentle stroll around the Goldbach's conjecture</a>\nby Olivier Ramaré
  (CNRS / Aix Marseille University) as part of Torun ETDS online seminar\n\
 n\nAbstract\nThe last years have seen the proof of many results concerning
  the prime numbers. In this large audience talk\, we will show how these r
 esults are all related to linear equations with prime indeterminates\, and
  from then on\, recount the history of the quantitative version of the Gol
 dbach conjecture. We will present elements in its favor\, but the most str
 iking fact is surely the frailty of such elements.\n
LOCATION:https://researchseminars.org/talk/TorunETDS/3/
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