Galois Representations and Automorphic Forms Seminar

Completed Cohomology of Shimura Curves and a p-Adic Jacquet-Langlands Correspondence

In this talk, I will describe a construction of a geometric realisation of a p-adic Jacquet-Langlands correspondence for certain forms of GL(2) over a totally real field. The construction makes use of the completed cohomology of Shimura curves, and a study of the bad reduction of Shimura curves due to Rajaei (generalising work of Ribet for GL(2) over the rational numbers). Along the way I will also describe a p-adic analogue of Mazur's principle in this setting.

Date & Time

February 09, 2011 | 2:15pm – 3:15pm

Location

S-101

Speakers

James Newton

Affiliation

Member, School of Mathematics

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