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UID:20260305T193139EST-0057MO8r8z@132.216.98.100
DTSTAMP:20260306T003139Z
DESCRIPTION:Title: Connections between ergodic theory and multiplicative nu
 mber theory\n	 \n	Abstract: In this talk\, we will discuss several connectio
 ns between ergodic theory and multiplicative number theory. Given a probab
 ility space (X\, A\, µ)\, a multiplicative action S = (Sn)n∈N on (X\, A\, 
 µ) is a sequence of measure-preserving transformations Sn : X → X satisfyi
 ng Snm = Sn ◦ Sm for all n\, m ∈ N. This object can be viewed as the natur
 al ergodic analog of a completely multiplicative function f : N → S 1 . We
  will present new results on multiplicative actions\, applications of ergo
 dic methods to problems in number theory\, and open questions in both area
 s. In particular\, we will focus on recurrence phenomena for multiplicativ
 e actions and their numbertheoretic consequences. Namely\, we characterize
  the integers a\, b\, c\, d for which lim inf n→∞ |f(an + b) − f(cn + d)| 
 = 0 holds for all completely multiplicative functions f : N → S 1 . This e
 xtends a theorem of Klurman and Mangerel corresponding to the pair (n\, n 
 + 1). The talk will conclude with a discussion of how ergodic methods can 
 be employed to address problems on the partition regularity of homogeneous
  quadratic equations\, presenting current progress and highlighting the ch
 allenges involved.\n\nVenue: Concordia University LB 921-04\n
DTSTART:20260202T190000Z
DTEND:20260202T200000Z
SUMMARY: QVNTS-Dimitrios Charamaras (CRM)
URL:/mathstat/channels/event/qvnts-dimitrios-charamara
 s-crm-370729
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