Chai-Oort Hecke orbit conjecture
Marco D’Addezio
IRMA, Strasbourg
https://webusers.imj-prg.fr/~marco.d-addezio/
Date(s) : 19/11/2024 iCal
14h00 - 15h00
I will talk about the proof of the Hecke orbit conjecture for
Shimura varieties of Hodge type. This is a conjecture proposed by Chai
and Oort on the geometry of the reduction modulo p of Shimura varieties.
After recalling the statement, I will explain how to linearise the
problem using some “generalised Serre-Tate coordinates” on central
leaves. Subsequently, I will explain how the monodromy groups of
F-isocrystals enter into the picture. This is a joint work with Pol van
Hoften.
Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)
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