BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jan Frahm (Aarhus Universitet) DTSTART:20220518T070000Z DTEND:20220518T083000Z DTSTAMP:20260423T005840Z UID:POINTS/36 DESCRIPTION:Title: Analytic continuation of branching laws for unitary representations\nb y Jan Frahm (Aarhus Universitet) as part of POINTS - Peking Online Interna tional Number Theory Seminar\n\n\nAbstract\nBranching problems ask for the behaviour of the restriction of an irreducible representation of a group $G$ to a subgroup $H$. In the context of smooth representations of real re ductive groups\, this typically leads to the study of multiplicities with which an irreducible representation of $H$ occurs as a quotient of an irre ducible representation of $G$. Here\, both quantitative results such as mu ltiplicity-one theorems and qualitative results such as the Gan-Gross-Pras ad conjectures are of interest.\n\nIn the context of unitary representatio ns of real reductive groups\, one can go a step further and explicitly dec ompose an irreducible representation of $G$ into a direct integral of irre ducible representations of $H$. I will explain how branching laws for unit ary representations are related to those in the smooth category\, and how one can use an analytic continuation procedure along a principal series pa rameter to obtain explicit branching laws from certain Plancherel formulas for homogeneous spaces.\n\nZoom ID: 863 3902 9748\n\nZoom password: 83135 2\n LOCATION:https://researchseminars.org/talk/POINTS/36/ END:VEVENT END:VCALENDAR