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Affine Deligne-Lusztig varieties of higher level and the local Langlands correspondence for GL_2

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A. Ivanov (TU Muenchen) - Arbeitsgemeinschaft Arithmetische Geometrie

What
  • Arbeitsgemeinschaft
When May 07, 2015
from 04:15 pm to 05:45 pm
Where Bonn, Raum 0.006, Mathematik-Zentrum, Endenicher Allee 60
Contact Name sachinidis
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We define coverings of affine Deligne-Lusztig varieties attached to a connected reductive group over a local field of positive characteristic. In the case of GL_2, the unramified part of the local Langlands correspondence is realized in the l-adic cohomology of these varieties. We prove this and compare our construction with the construction of Bushnell-Henniart via cuspidal types. All methods used in this talk are purely local.