BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Uri Onn (Australian National University) DTSTART:20210408T120000Z DTEND:20210408T130000Z DTSTAMP:20260423T041410Z UID:AGNTISTA/29 DESCRIPTION:Title: Analytic properties of representation zeta functions of arithmetic group s\nby Uri Onn (Australian National University) as part of Algebraic Ge ometry and Number Theory seminar - ISTA\n\n\nAbstract\nA group is said to have polynomial representation growth if the sequence enumerating the isom orphism classes of finite dimensional irreducible representations accordin g to their dimension is polynomially bounded. The representation zeta func tion of such group is the associated Dirichlet generating series. In this talk I will focus on representation zeta functions of arithmetic groups an d their analytic properties. I will explain the ideas behind a proof of a variant of the Larsen-Lubotzky conjecture on the representation growth of arithmetic lattices in high rank semisimple Lie groups (joint with Nir Avn i\, Benjamin Klopsch and Christopher Voll). Time permitting\, I will talk about results on arithmetic groups of type A_2 in positive characteristic (joint with Amritanshu Prasad and Pooja Singla) and results towards meromo rphic continuation (joint with Shai Shechter).\n LOCATION:https://researchseminars.org/talk/AGNTISTA/29/ END:VEVENT END:VCALENDAR