BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:John Bergdall (Bryn Mawr) DTSTART:20210301T211500Z DTEND:20210301T221500Z DTSTAMP:20260423T035919Z UID:BUNT/5 DESCRIPTION:Title: Red uctions of certain semi-stable Galois representations\nby John Bergdal l (Bryn Mawr) as part of Boston University Number Theory Seminar\n\n\nAbst ract\nThe L-invariant is an important p-adic invariant attached to certain newforms of level Np where N is co-prime to p. They arise most clearly fr om the study of local p-adic Galois representations\, but they influence g lobal phenomena such as trivial zeros of p-adic L-functions and p-adic fam ilies. This talk will focus on how the L-invariant\, which we will describ e\, influences the local Galois representation modulo p. History of the ge neral problem of calculating reductions will be provided. The main result is an exact description of the local mod p representation when the L-invar iant is sufficiently large in norm. One novel feature of our work is that it allows for unbounded weights\, whereas prior descriptions were limited to weight at most p. This is joint work with Brandon Levin and Tong Liu.\n LOCATION:https://researchseminars.org/talk/BUNT/5/ END:VEVENT END:VCALENDAR