mu-ordinary Hasse invariants and the canonical filtration of a p-divisible group
- π€ Speaker: Valentin Hernandez (Paris 6) π Website
- π Date & Time: Tuesday 29 November 2016, 14:30 - 15:30
- π Venue: MR13
Abstract
In his 1973 paper, Katz constructed overconvergent modular forms on the modular curve geometrically, using the Hasse invariant and Lubinβs Theorem on the canonical subgroup of an elliptic curve. Many improvements have since been made on these constructions on many Shimura varieties, but this approach is now well known only when the ordinary locus is non-empty. I will try to explain how to get rid of this assumption, and detail the construction of a replacement for the Hasse invariant and the construction of the canonical filtration focusing on the local analogue of the Picard modular surface.
Series This talk is part of the Number Theory Seminar series.
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Valentin Hernandez (Paris 6) 
Tuesday 29 November 2016, 14:30-15:30