BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jessica Fintzen (Univ. of Cambridge) DTSTART:20201006T170000Z DTEND:20201006T180000Z DTSTAMP:20260423T041506Z UID:UAANTS/3 DESCRIPTION:Title: R epresentations of p-adic groups and applications\nby Jessica Fintzen ( Univ. of Cambridge) as part of University of Arizona Algebra and Number Th eory Seminar\n\n\nAbstract\nThe Langlands program is a far-reaching collec tion of conjectures that relate different areas of mathematics including n umber theory and representation theory. A fundamental problem on the repre sentation theory side of the Langlands program is the construction of all (irreducible\, smooth\, complex) representations of p-adic groups. I will provide an overview of our understanding of the representations of p-adic groups\, with an emphasis on recent progress.\n\nI will also outline how n ew results about the representation theory of p-adic groups can be used to obtain congruences between arbitrary automorphic forms and automorphic fo rms which are supercuspidal at p\, which is joint work with Sug Woo Shin. This simplifies earlier constructions of attaching Galois representations to automorphic representations\, i.e. the global Langlands correspondence\ , for general linear groups. Moreover\, our results apply to general p-adi c groups and have therefore the potential to become widely applicable beyo nd the case of the general linear group.\n LOCATION:https://researchseminars.org/talk/UAANTS/3/ END:VEVENT END:VCALENDAR