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SUMMARY:Florian K. Richter (Northwestern University)
DTSTART:20200603T081500Z
DTEND:20200603T094500Z
DTSTAMP:20260404T111331Z
UID:TorunETDS/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Torun
 ETDS/1/">Dynamical generalizations of the Prime Number Theorem and disjoin
 tness of additive and multiplicative actions</a>\nby Florian K. Richter (N
 orthwestern University) as part of Torun ETDS online seminar\n\n\nAbstract
 \nOne of the fundamental challenges in number theory is to understand the 
 intricate way in which the additive and multiplicative structures in the i
 ntegers intertwine. We will explore a dynamical approach to this topic. Af
 ter introducing a new dynamical framework for treating questions in multip
 licative number theory\, we will present an ergodic theorem which contains
  various classical number-theoretic results\, such as the Prime Number The
 orem\, as special cases. This naturally leads to a formulation of an exten
 ded form of Sarnak's conjecture\, which deals with the disjointness of act
 ions of $(\\mathbb{N}\,+)$ and $(\\mathbb{N}\,*)$. This talk is based on j
 oint work with Vitaly Bergelson.\n
LOCATION:https://stable.researchseminars.org/talk/TorunETDS/1/
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SUMMARY:Olivier Ramaré (CNRS / Aix Marseille University)
DTSTART:20200616T081500Z
DTEND:20200616T094500Z
DTSTAMP:20260404T111331Z
UID:TorunETDS/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Torun
 ETDS/3/">A gentle stroll around the Goldbach's conjecture</a>\nby Olivier 
 Ramaré (CNRS / Aix Marseille University) as part of Torun ETDS online sem
 inar\n\n\nAbstract\nThe last years have seen the proof of many results con
 cerning the prime numbers. In this large audience talk\, we will show how 
 these results are all related to linear equations with prime indeterminate
 s\, and from then on\, recount the history of the quantitative version of 
 the Goldbach conjecture. We will present elements in its favor\, but the m
 ost striking fact is surely the frailty of such elements.\n
LOCATION:https://stable.researchseminars.org/talk/TorunETDS/3/
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