Hypoelliptic Laplacian and twisted trace formula

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier Pub Date : 2023-10-09 DOI:10.5802/aif.3566

Bingxiao Liu

引用次数: 0

Abstract

We give an explicit geometric formula for the twisted orbital integrals using the method of the hypoelliptic Laplacian developed by Bismut. Combining with the twisted trace formula, we can evaluate the equivariant trace of the heat operators of the Laplacians on a compact locally symmetric space. In particular, we revisit the equivariant local index theorems and twisted L 2 -torsions for locally symmetric spaces.

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半椭圆拉普拉斯和扭迹公式

利用Bismut提出的准椭圆拉普拉斯方法，给出了扭曲轨道积分的显式几何公式。结合扭曲迹公式，我们可以求出拉普拉斯热算子在紧致局部对称空间上的等变迹。特别地，我们重新讨论了局部对称空间的等变局部指标定理和扭曲l2 -扭转。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.