On the unramified Eisenstein spectrum
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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- 10.48550/arXiv.2203.03486
- arXiv:
- arXiv:2203.03486
- Bibcode:
- 2022arXiv220303486K
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Algebraic Topology;
- Mathematics - Representation Theory
- E-Print:
- Comments welcome