BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Zuo Lin (UC Berkeley) DTSTART:20251202T174500Z DTEND:20251202T184500Z DTSTAMP:20260423T023048Z UID:NEDNT/97 DESCRIPTION:Title: P olynomial effective equidistribution for some higher dimensional unipotent subgroups\nby Zuo Lin (UC Berkeley) as part of New England Dynamics a nd Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\nLet G be a semisimple Lie group\, Γ be a lattice in G and U be a unipotent subgrou p of G. A celebrated theorem of Ratner says that for any x in G/Γ the orb it U.x is equidistributed in a periodic orbit of some subgroup U ≤ L ≤ G. Establishing a quantitative version of Ratner’s theorem has been lon g sought after. If U is a horospherical subgroup of G\, the question is we ll-studied. If U is not a horospherical subgroup\, this question is far le ss understood. Recently\, Lindenstrauss\, Mohammadi\, Wang and Yang establ ished a fully quantitative and effective equidistribution result for orbit s of one-parameter (non-horospherical) unipotent groups in some cases. In this talk\, we will discuss a recent equidistribution theorem for some uni potent subgroups in higher dimension. Our results in particular provide eq uidistribution theorems for orbits of the isometry group of a non-degenera te bilinear form on R^n in SL_n(R)/SL_n(Z).\n LOCATION:https://researchseminars.org/talk/NEDNT/97/ END:VEVENT END:VCALENDAR