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SUMMARY:Zicheng Qian (Toronto University)
DTSTART:20210602T020000Z
DTEND:20210602T030000Z
DTSTAMP:20260423T035826Z
UID:POINTS/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/21/">
 Moduli of Fontaine-Laffaille modules and mod p local-global compatibility<
 /a>\nby Zicheng Qian (Toronto University) as part of POINTS - Peking Onlin
 e International Number Theory Seminar\n\nLecture held in 77201\, Beijing I
 nternational Center for Mathematical Research\, Peking University.\n\nAbst
 ract\nWe introduce a set of invariant functions on the moduli of Fontaine-
 Laffaille modules and prove that they separate points on the moduli in a s
 uitable sense. Consequently\, we prove the following local-lobal compatibi
 lity result for suitable global set up and under standard Kisin-Taylor-Wil
 es conditions: the Hecke eigenspace attached to a modular mod \\(p\\) glob
 al Galois representation determines its restriction at a place unramified 
 over \\(p\\)\, if the restriction is Fontaine-Laffaille and has a generic 
 semisimplification. The genericity assumption is mild and explicit. This i
 s a joint work with D. Le\, B.V. Le Hung\, S. Morra and C. Park.\n\nZoom I
 D: 881 3287 2530\n\nZoom Password: 898924\n
LOCATION:https://researchseminars.org/talk/POINTS/21/
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