BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Wenbo Sun (Virginia Tech) DTSTART:20201229T081500Z DTEND:20201229T090000Z DTSTAMP:20260423T024030Z UID:iccm2020/83 DESCRIPTION:Title: Recurrence theorem for multiplicative systems and applications\nby W enbo Sun (Virginia Tech) as part of ICCM 2020\n\n\nAbstract\nPoincare recu rrence theorem is one fundamental result in a dynamical system\, which say s that the orbit of a point on a measure-preserving system can visit the n eighborhood of another point infinitely many times. Variations and applica tions of this theorem have been studied extensively in the literature. In this talk\, we discuss the recurrence properties of a multiplicative syste m\, i.e. a system admitting a multiplicative group action instead of a con ventional additive group action. This is a direction that has not been stu died much in the past\, yet has many interesting applications. We will dis cuss recent progress on this topic\, and its connections with problems in combinatorics and number theory.\n LOCATION:https://researchseminars.org/talk/iccm2020/83/ END:VEVENT END:VCALENDAR