Geometric zeta functions for higher rank p-adic groups

Anton Deitmar; Ming-Hsuan Kang

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arXiv · 1303.6848

Geometric zeta functions for higher rank p-adic groups

Anton Deitmar·Ming-Hsuan Kang

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Abstract

The higher rank Lefschetz formula for p-adic groups is used to prove rationality of a several-variable zeta function attached to the action of a p-adic group on its Bruhat-Tits building. By specializing to certain lines one gets one-variable zeta functions, which then can be related to geometrically defined zeta functions

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Anton Deitmar, Ming-Hsuan Kang. 2013-03-27. Geometric zeta functions for higher rank p-adic groups. https://arxiv.org/abs/1303.6848

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