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SUMMARY:Hanneke Wiersema (King's College London)
DTSTART:20201104T130000Z
DTEND:20201104T140000Z
DTSTAMP:20260423T024831Z
UID:QMULANTS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMULANTS/3/"
 >Minimal weights of mod p Galois representations</a>\nby Hanneke Wiersema 
 (King's College London) as part of Queen Mary University of London Algebra
  and Number Theory Seminar\n\n\nAbstract\nThe strong form of Serre's conje
 cture states that every two-dimensional continuous\, odd\, irreducible mod
  p representation of the absolute Galois group of Q arises from a modular 
 form of a specific minimal weight\, level and character. In this talk we u
 se modular representation theory to prove the minimal weight is equal to a
  notion of minimal weight inspired by work of Buzzard\, Diamond and Jarvis
 . Moreover\, using the Breuil-Mézard conjecture we give a third interpret
 ation of this minimal weight as the smallest k>1 such that the representat
 ion has a crystalline lift of Hodge-Tate type (0\, k-1). Finally\, we will
  report on work in progress where we study similar questions in the more g
 eneral setting of mod p Galois representations over a totally real field.\
 n
LOCATION:https://researchseminars.org/talk/QMULANTS/3/
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