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Publication Detailed Description
Journal Title
Journal of Noncommutative Geometry
Year (definitive publication)
2007
Language
English
Country
Switzerland
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Abstract
Let F be a nonarchimedean local field and let G = GL(n) = GL(n,F). Let E/F be a finite Galois extension. We investigate base change E/F at two levels: at the level of algebraic varieties, and at the level ofK-theory. We put special emphasis on the representations with Iwahori fixed vectors, and the tempered spectrum of GL(1) and GL(2). In this context, the prominent arithmetic invariant is the residue degree f(E/F).
Acknowledgements
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Keywords
Local field,General linear group,Algebraic variety,Base change,K-theory
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
