BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:PDE/Analysis Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260910T063941Z
UID:tag:localist.com\,2008:EventInstance_50727127985581
DTSTART:20251007T190000Z
DTEND:20251007T200000Z
DESCRIPTION:Speaker: Andreas Wieser (Institute for Advanced Study)\n\nTitle
 : Effective equidistribution of periodic orbits of semisimple groups\n\nAb
 stract: Qualitatively\, actions of unipotent groups on homogeneous spaces 
 are very well understood after breakthrough works of Ratner from the 90's.
  The past two decades have seen dramatic progress in providing rates in th
 ese results. In this talk\, we will be interested in the distributional pr
 operties of periodic orbits of semisimple groups. Here\, the desire is to 
 show that such a periodic orbit 'approximates' a periodic orbit of a large
 r group with a rate that is polynomial in the volume.\n\n\nIn joint work w
 ith Einsiedler\, Lindenstrauss\, and Mohammadi\, we prove such a result fo
 r compact (congruence) quotients with a rate this is explicit in all aspec
 ts (including the volume of the ambient space). This relies heavily on a v
 ariety of tools including uniformity of the spectral gap for periodic orbi
 ts in congruence quotients and polynomial properties of unipotent flows. W
 e will discuss these results with an emphasis on the dynamical methods and
  mention applications in number theory briefly.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 136
SUMMARY:PDE/Analysis Seminar
URL;VALUE=URI:https://calendar.mit.edu/event/pdeanalysis-seminar-1959
CATEGORIES:Conferences/Seminars/Lectures
END:VEVENT
END:VCALENDAR