BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Masatosho Kitagawa (Waseda University) DTSTART:20220824T060000Z DTEND:20220824T070000Z DTSTAMP:20260423T022840Z UID:POINTS/38 DESCRIPTION:Title: Uniformly bounded multiplicities in the branching problem and D-modules\nby Masatosho Kitagawa (Waseda University) as part of POINTS - Peking On line International Number Theory Seminar\n\n\nAbstract\nIn the representat ion theory of real reductive Lie groups\, several finiteness results of le ngths and multiplicities are known and fundamental. The Harish-Chandra adm issibility theorem and the finiteness of the length of Verma modules and p rincipal series representations are typical examples.\n\nMore precisely\, such multiplicities and lengths are bounded on some parameter sets. T. Osh ima and T. Kobayashi ('13 adv. math.) gave a criterion on which branching laws have (uniformly) bounded multiplicities.\n\nIn arXiv:2109.05556\, I d efined uniform boundedness of a family of $\\mathscr{D}$-modules (and $\\m athfrak{g}$-modules) to treat the boundedness properties uniformly. I will talk about its definition and applications. In particular\, I will give a necessary and sufficient condition on uniform boundedness of multipliciti es in the branching problem of real reductive Lie groups.\n\nZoom Number: 949 6559 4176\n\nZoom password: 071166\n LOCATION:https://researchseminars.org/talk/POINTS/38/ END:VEVENT END:VCALENDAR