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SUMMARY:On the geometric Serre weight conjecture for Hilbert modular forms
  - Speaker to be confirmed
DTSTART:20250304T143000Z
DTEND:20250304T153000Z
UID:TALK229180@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION:Let $F$ be a totally real field in which $p$ is unramified and
  $\\rho: \\Gal(\\overline{F}/F)\\rightarrow \\GL_2(\\Fpbar)$ be a totally 
 odd\, irreducible\, continuous representation. The geometric Serre weight 
 conjecture formulated by Diamond and Sasaki can be viewed as a geometric v
 ariant of the Buzzard-Diamond-Jarvis conjecture\, where they have the noti
 on of geometric modularity in the sense that $\\rho$ arises from a mod $p$
  Hilbert modular form and algebraic modularity in the sense of Buzzard-Dia
 mond-Jarvis. I will discuss the relation between algebraic and geometric m
 odularity and show their consistency for the weights in a certain cone\, u
 nder the assumption that $F$ is a real quadratic field.
LOCATION:MR13
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