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SUMMARY:Hida theory for Pizer's quaternionic orders
DTSTART;VALUE=DATE-TIME:20220922T120000Z
DTEND;VALUE=DATE-TIME:20220922T130000Z
DTSTAMP;VALUE=DATE-TIME:20220930T193900Z
UID:indico-event-7897@indico.math.cnrs.fr
DESCRIPTION:Speakers: Luca Dall'Ava (Università degli Studi di Padova)\n\
nIn this talk\, we discuss a quaternionic Control Theorem\, in the spirit
of Hida and Greenberg-Stevens\, considering a generalization of Eichler or
ders proposed by Pizer. These orders allow higher level structure at the p
rimes where the quaternion algebra ramifies. Interestingly\, the quaternio
nic modular forms associated with these orders live in Hecke-eigenspaces w
hose rank might be 2 and not necessarily 1\, as in the Eichler case. The p
roved Control Theorem deals with this higher multiplicity situation. Time
permitting\, we will discuss some work-in-progress developments on recover
ing strong multiplicity 1\, and an expected generalization of Chenevier's
p-adic Jacquet-Langlands correspondence with these interesting level struc
tures. This last part is joint work with Aleksander Horawa.\n\nhttps://ind
ico.math.cnrs.fr/event/7897/
LOCATION:M7.411 (ENS Lyon\, UMPA)
URL:https://indico.math.cnrs.fr/event/7897/
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