BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alex Maldague (Rice University) DTSTART:20260416T161500Z DTEND:20260416T173000Z DTSTAMP:20260423T022805Z UID:NEDNT/105 DESCRIPTION:Title: Superrigidity of rich representations\nby Alex Maldague (Rice Universi ty) as part of New England Dynamics and Number Theory Seminar\n\nLecture h eld in Online.\n\nAbstract\nIn this talk\, I will introduce the class of g eodesically rich representations. These are representations of (real or co mplex) hyperbolic lattices that preserve a significant amount of the geome tric structure of the associated quotient manifold. When the quotient mani fold has robust geometric structure\, these representations exhibit rigidi ty phenomena. In particular\, a recent superrigidity theorem for rich repr esentations was used to prove that finite-volume hyperbolic manifolds with infinitely many maximal totally geodesic submanifolds are arithmetic (Bad er-Fisher-Miller-Stover). I will discuss a new superrigidity theorem for r ich representations that efficiently recovers existing results and address es target groups that were previously inaccessible.\n LOCATION:https://researchseminars.org/talk/NEDNT/105/ END:VEVENT END:VCALENDAR