BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ellen Eischen (University of Oregon) DTSTART:20240312T210000Z DTEND:20240312T220000Z DTSTAMP:20260423T005850Z UID:UAANTS/79 DESCRIPTION:Title: Algebraic and p-adic aspects of L-functions\, with a view toward Spin L-fu nctions for GSp_6\nby Ellen Eischen (University of Oregon) as part of University of Arizona Algebra and Number Theory Seminar\n\nLecture held in ENR2 S395.\n\nAbstract\nI will discuss recent developments and ongoing wo rk for algebraic and p-adic aspects of L-functions. Interest in p-adic pro perties of values of L-functions originated with Kummer’s study of congr uences between values of the Riemann zeta function at negative odd integer s\, as part of his attempt to understand class numbers of cyclotomic exten sions. After presenting an approach to studying analogous congruences for more general classes of L-functions\, I will conclude by introducing ongoi ng joint work of G. Rosso\, S. Shah\, and myself (concerning Spin L-functi ons for GSp 6). I will explain how this work fits into the context of earl ier developments\, while also indicating where new technical challenges ar ise. All who are curious about this topic are welcome at this talk\, even without prior experience with p-adic L-functions or Spin L-functions.\n LOCATION:https://researchseminars.org/talk/UAANTS/79/ END:VEVENT END:VCALENDAR