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SUMMARY:Rylan Gajek-Leonard (Union College)
DTSTART:20251118T210000Z
DTEND:20251118T220000Z
DTSTAMP:20260824T073417Z
UID:FCNTS/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/13/">M
 azur-Tate elements of non-ordinary modular forms with Serre weight larger 
 than two</a>\nby Rylan Gajek-Leonard (Union College) as part of Pioneer Va
 lley Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst Col
 lege.\n\nAbstract\nFix an odd prime $p$ and let $f$ be a non-ordinary eige
 n-cuspform of weight $k$ and level coprime to $p$. In this talk\, we descr
 ibe asymptotic formulas for the Iwasawa invariants of the Mazur--Tate elem
 ents attached to $f$ of weight $k\\leq p$ in terms of the corresponding in
 variants of the signed $p$-adic $L$-functions. Combined with a version of 
 mod $p$ multiplicity one\, we use these formulas to obtain descriptions of
  the $\\lambda$-invariants of Mazur--Tate elements attached to certain hig
 her weight modular forms having Serre weight $\\leq p$\, generalizing resu
 lts of Pollack and Weston in the Serre weight 2 case. This is joint work w
 ith Antonio Lei.\n
LOCATION:https://researchseminars.org/talk/FCNTS/13/
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