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SUMMARY:mu-ordinary Hasse invariants and the canonical filtration of a p-d
 ivisible group - Valentin Hernandez (Paris 6)
DTSTART:20161129T143000Z
DTEND:20161129T153000Z
UID:TALK68171@talks.cam.ac.uk
CONTACT:G. Rosso
DESCRIPTION:In his 1973 paper\, Katz constructed overconvergent modular fo
 rms on the modular curve geometrically\, using the Hasse invariant and Lub
 in’s Theorem on the canonical subgroup of an elliptic curve. Many improv
 ements have since been made on these constructions on many Shimura varieti
 es\, but this approach is now well known only when the ordinary locus is n
 on-empty.\nI will try to explain how to get rid of this assumption\, and d
 etail the construction of a replacement for the Hasse invariant and the co
 nstruction of the canonical filtration focusing on the local analogue of t
 he Picard modular surface.
LOCATION:MR13
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