ON THE UNRAMIFIED EISENSTEIN SPECTRUM

David Kazhdan; Andrei Okounkov

doi:10.1090/cams/51

ON THE UNRAMIFIED EISENSTEIN SPECTRUM

David Kazhdan, Andrei Okounkov

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	392-456
Number of pages	65
Journal	Communications of the American Mathematical Society
Volume	5
DOIs	https://doi.org/10.1090/cams/51
State	Published - 2025

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© 2025 by the author(s).

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abstract = "For a split reductive groupLG over a global field, we determine the spectrum of the spherical Hecke algebra coming from the unramified Eisenstein series for the minimal parabolicLB. This is done using a certain decomposition of the Springer stack T*(B\textbackslash{}G/B) for the Langlands dual group G in the additive cobordism group of cohomologically proper derived quotient stacks.",

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ON THE UNRAMIFIED EISENSTEIN SPECTRUM

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