BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Carsten Peterson (Paderborn University) DTSTART:20240411T161500Z DTEND:20240411T173000Z DTSTAMP:20260423T021901Z UID:NEDNT/73 DESCRIPTION:Title: Q uantum ergodicity on the Bruhat-Tits building for PGL(3) in the Benjamini- Schramm limit\nby Carsten Peterson (Paderborn University) as part of N ew England Dynamics and Number Theory Seminar\n\nLecture held in Online.\n \nAbstract\nOriginally\, quantum ergodicity concerned equidistribution pro perties of Laplacian eigenfunctions with large eigenvalue on manifolds for which the geodesic flow is ergodic. More recently\, several authors have investigated quantum ergodicity for sequences of spaces which “converge ” to their common universal cover and when one restricts to eigenfunctio ns with eigenvalues in a fixed range. Previous authors have considered thi s type of quantum ergodicity in the settings of regular graphs\, rank one symmetric spaces\, and some higher rank symmetric spaces. We prove analogo us results in the case when the underlying common universal cover is the B ruhat-Tits building associated to \\textrm{PGL}(3\, F) where F is a non-ar chimedean local field. This may be seen as both a higher rank analogue of the regular graphs setting as well as a non-archimedean analogue of the sy mmetric space setting\n LOCATION:https://researchseminars.org/talk/NEDNT/73/ END:VEVENT END:VCALENDAR