BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Asgar Jamneshan (Koç Üniversitesi) DTSTART:20211217T140000Z DTEND:20211217T150000Z DTSTAMP:20260422T122702Z UID:MSGSUMath/8 DESCRIPTION:Title: The structure of arbitrary Conze-Lesigne systems\nby Asgar Jamneshan (Koç Üniversitesi) as part of Mimar Sinan University Mathematics Semina rs\n\n\nAbstract\nWe consider probability-preserving dynamical systems fro m countable abelian group actions. Such a system is said to be a Conze-Le signe system if it is equal to its second Host-Kra-Ziegler factor (these f actors arise in the study of multiple recurrence and play a foundational r ole in related areas in additive combinatorics and number theory). We pro vide a classification of Conze-Lesigne systems in terms of algebraic data. More precisely\, we show that an arbitrary Conze-Lesigne system is an in verse limit of translational systems arising from locally compact nilpoten t groups of nilpotency class 2 quotient by a lattice. Results of this typ e were previously known when the acting group is finitely generated or a d irect sum of cyclic groups. The talk aims at introducing the field. If t ime permits\, we will present an application to additive combinatorics. T he talk is based on recent joint works with Or Shalom and Terence Tao.\n LOCATION:https://researchseminars.org/talk/MSGSUMath/8/ END:VEVENT END:VCALENDAR