Research seminar: Local Langlands correspondence for GL(2)
The aim of the seminar is to learn something about the local Langlands correspondence for GL(2) over Q_p, and in particular about the connection to the cohomology of modular curves. (This case has been known for a long time, based on the work of Langlands, Deligne and Carayol (among others). See Carayol's paper cited in the program.) We will not prove the local Langlands correspondence even in this case (for a proof, see the book by Bushnell and Henniart), but will learn about several methods and results which are useful for generalizations (such as the work of Harris and Taylor) and variants, and open perspectives, for instance to the p-adic Langlands program.
Organizers: G. Böckle, U. Görtz, G. Wiese
Dates: Thu, 10-12, T03 R04 D10. We start on April 29.
|Overview and motivation
|Yamidt Bermudez Tobon
|The local Langlands correspondence
|Geometry of modular curves I
|Geometry of modular curves II
|Decomposition of the representation sigma_p
|Analysis of sigma_1
|Deformations of formal groups and the fundamental local representation