BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Hanneke Wiersema (University of Cambridge)
DTSTART:20221207T160000Z
DTEND:20221207T170000Z
DTSTAMP:20260418T065333Z
UID:LNTS/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/81/">Mo
 dularity in the partial weight one case</a>\nby Hanneke Wiersema (Universi
 ty of Cambridge) as part of London number theory seminar\n\nLecture held i
 n Huxley 139\, Imperial.\n\nAbstract\nThe strong form of Serre's conjectur
 e states that a two-dimensional mod $p$ representation of the absolute Gal
 ois group of $\\mathbb{Q}$ arises from a modular form of a specific weight
 \, level and character. Serre restricted to modular forms of weight at lea
 st 2\, but Edixhoven later refined this conjecture to include weight one m
 odular forms. In this talk we explore analogues of Edixhoven's refinement 
 for Galois representations of totally real fields\, extending recent work 
 of Diamond–-Sasaki. In particular\, we show how modularity of partial we
 ight one Hilbert modular forms can be related to modularity of Hilbert mod
 ular forms with regular weights\, and vice versa. Time permitting\, we wil
 l also discuss a $p$-adic Hodge theoretic version of this.\n
LOCATION:https://researchseminars.org/talk/LNTS/81/
END:VEVENT
END:VCALENDAR