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Tuesday 15 February 2011, 14:30-15:30
A new approach to the Local Langlands Correspondence for GL_n over p-adic fields
- đ¤ Speaker: Peter Scholze (Bonn)
- đ Date & Time: Tuesday 15 February 2011, 14:30 - 15:30
- đ Venue: MR13
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Tom Fisher
Abstract
We give a new local characterization of the Local Langlands Correspondence, using deformation spaces of p-divisible groups, and show its existence by a comparison with the cohomology of some Shimura varieties. This reproves results of Harris-Taylor on the compatibility of local and global correspondences, but completely avoids the use of Igusa varieties and instead relies on the classical method of counting points a la Langlands and Kottwitz. Further, we have a new proof of bijectivity of this correspondence, relying on a description of the inertia-invariant nearby cycles in certain situations.
Series This talk is part of the Number Theory Seminar series.
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