论文标题

在未受到的爱森斯坦光谱上

On the unramified Eisenstein spectrum

论文作者

Kazhdan, David, Okounkov, Andrei

论文摘要

对于一个全球字段上的分裂还原组$ {}^l g $,我们确定球形Hecke代数的频谱来自最小的抛物线$ {}^l b $的未造成的Eisenstein系列。这是使用Springer堆栈$ t^*的一定分解来完成的(b \ backslash g/ b)$ $ t langlands Dual Group的$ tual coobordism coobordisms中的同一个合适的商堆栈的添加剂。

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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