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On the unramified Eisenstein spectrum (2203.03486v3)
Published 3 Mar 2022 in math.NT, math.AG, math.AT, and math.RT
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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