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On the unramified Eisenstein spectrum

2022/03/03 by David Kazhdan, Kazhdan, David, Andreĭ Okounkov +1
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2203.03486

Abstract

For a split reductive group L G over a global field, we determine the spectrum of the spherical Hecke algebra coming from the unramified Eisenstein series for the minimal parabolic L B. This is done using a certain decomposition of the Springer stack T^*(B \backslash G/ B) for the Langlands dual group in the additive group of cobordisms of cohomologically proper derived quotient stacks.

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