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SUMMARY:Rylan Gajek-Leonard (Union College)
DTSTART:20251118T210000Z
DTEND:20251118T220000Z
DTSTAMP:20260422T173734Z
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 Five Colle
 ge Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst Colle
 ge.\n\nAbstract\nFix an odd prime $p$ and let $f$ be a non-ordinary eigen-
 cuspform of weight $k$ and level coprime to $p$. In this talk\, we describ
 e asymptotic formulas for the Iwasawa invariants of the Mazur--Tate elemen
 ts attached to $f$ of weight $k\\leq p$ in terms of the corresponding inva
 riants of the signed $p$-adic $L$-functions. Combined with a version of mo
 d $p$ multiplicity one\, we use these formulas to obtain descriptions of t
 he $\\lambda$-invariants of Mazur--Tate elements attached to certain highe
 r weight modular forms having Serre weight $\\leq p$\, generalizing result
 s of Pollack and Weston in the Serre weight 2 case. This is joint work wit
 h Antonio Lei.\n
LOCATION:https://researchseminars.org/talk/FCNTS/13/
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