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SUMMARY:Håvard Damm-Johnsen (MIT)
DTSTART:20260929T203000Z
DTEND:20260929T213000Z
DTSTAMP:20261003T081446Z
UID:MITNT/143
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/143/">
 Lifting ethereal Bianchi modular forms</a>\nby Håvard Damm-Johnsen (MIT) 
 as part of MIT number theory seminar\n\nLecture held in Room 2-449 in the 
 Simons Building (building 2).\n\nAbstract\nMod $p$ Hecke eigenforms for co
 ngruence subgroups of $\\SL_2(\\Z)$ which do not lift to characteristic $0
 $ have received much attention\, and were named "ethereal modular forms" b
 y G. Schaeffer.\n  In this talk\, we discuss liftability for mod $p$ Bianc
 hi modular forms: experiments suggest that lifting to characteristic zero 
 may always be possible by increasing the level\, as in the case of classic
 al modular forms.\nThis is supported by some theoretical observations\, in
 cluding a proof of lifting in very special cases via recent advances by Ca
 raiani-Newton on the modularity of elliptic curves over imaginary quadrati
 c fields\, as well as extensive computations involving Magma and the LMFDB
 .\n
LOCATION:https://researchseminars.org/talk/MITNT/143/
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