BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Clifton Cunningham (University of Calgary) DTSTART:20241121T210000Z DTEND:20241121T220000Z DTSTAMP:20260423T040548Z UID:ANTS/4 DESCRIPTION:Title: Pac kets and the fine structure of L-functions\nby Clifton Cunningham (Uni versity of Calgary) as part of Calgary Algebra and Number Theory Seminar\n \nLecture held in MS 337.\n\nAbstract\nAutomorphic representations\, which provide a vast generalization of modular forms\, are are grouped together into so-called L-packets according to the L-functions they produce. From this point of view\, automorphic representations give a kind of fine-struc ture to L-functions themselves. While L-packets of automorphic representat ions are natural from this point of view\, they have some deficiencies whe n one looks for how L-functions transfer between different groups that are related by what we call “functoriality” in the Langlands program. To address these deficiencies\, Arthur introduced A-packets of automorphic re presentations\; each A-packet is an enlarged L-packet. However\, A-packets have not been defined in the same generality as L-packets. In this talk I will review this story and sketch work by my research group on a generali zation of A-packets. The talk includes comments on applications of A-packe ts to number theory\, some of which are highly speculative.\n LOCATION:https://researchseminars.org/talk/ANTS/4/ END:VEVENT END:VCALENDAR