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SUMMARY:Hanneke Wiersema (Cambridge)
DTSTART:20230425T130000Z
DTEND:20230425T140000Z
DTSTAMP:20260421T154143Z
UID:UEAPS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/10/">M
 odularity in the partial weight one case</a>\nby Hanneke Wiersema (Cambrid
 ge) as part of ANTLR seminar\n\nLecture held in SCI 3.05.\n\nAbstract\nThe
  strong form of Serre's conjecture states that a two-dimensional mod p rep
 resentation of the absolute Galois group of $\\mathbb{Q}$ arises from a mo
 dular form of a specific weight\, level and character. Serre restricted to
  modular forms of weight at least 2\, but Edixhoven later refined this con
 jecture to include weight one modular forms. In this talk we explore analo
 gues of Edixhoven's refinement for Galois representations of totally real 
 fields\, extending recent work of Diamond and Sasaki. In particular\, we s
 how how modularity of partial weight one Hilbert modular forms can be rela
 ted to modularity of Hilbert modular forms with regular weights\, and vice
  versa. We will also discuss the applications of this for p-adic Hodge the
 ory.\n
LOCATION:https://researchseminars.org/talk/UEAPS/10/
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