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DTSTART;TZID=America/Chicago:20260410T130000
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DTSTAMP:20260425T034603Z
SUMMARY:On Galois Representations associated with mod p Hilbert eigenforms | Deding Yang (U Chicago)
UID:641458@northwestern.edu
TZID:America/Chicago
DESCRIPTION:Given a modular eigenform of weight k\, it is well known that there exists an associated l-adic Galois representation satisfying certain compatibility conditions away from l and the level. It is then natural to ask the converse of this problem. In the mod p world\, the desired weight k of which \rho is modular is encoded in the weight part of Serre's conjecture (For the Hilbert case\, this is the Buzzard-Diamond-Jarvis conjecture)\, also referred to as "algebraic modularity" by Diamond and Sasaki. They also defined "geometric modularity" for mod p Hilbert eigenforms\, and conjectured that the two notions of "modularity" are equivalent when the weight k satisfies certain conditions. In this talk\, we prove this conjecture for all quaternionic Shimura varieties. This is a joint work in progress with Siqi Yang.
LOCATION:Annenberg Hall\, G31\, 2120 Campus Drive\, Evanston\, IL 60208
TRANSP:OPAQUE
URL:https://planitpurple.northwestern.edu/event/641458
CREATED:20260407T050000Z
STATUS:CONFIRMED
LAST-MODIFIED:20260409T180817Z
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