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A new proof of Jacquet-Rallis's fundamental lemma

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arxiv 1901.02653 v3 pith:OU353BPV submitted 2019-01-09 math.NT math.RT

Raphaël Beuzart-Plessis This is my paper · ORCID
classification math.NTmath.RT
keywords prooffundamentaljacquet-rallislemmalocalalgebracharacteristiccompatibility
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We give a new proof of the so-called Lie algebra version of Jacquet-Rallis's fundamental lemma for local non-Archimedean fields of characteristic zero. This proof is local and based on a previous result of W. Zhang on the compatibility of smooth transfer with a (partial) Fourier transform.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weil representation and Arithmetic Fundamental Lemma

    math.NT 2019-09 conditional novelty 8.0 of 10

    A global proof of the arithmetic fundamental lemma for unitary groups over Q_p (odd p >= n) via an SL_2-equivariant relative trace formula and derived CM cycles, which also yields the Jacquet-Rallis fundamental lemma ...

  2. Kudla--Rapoport cycles and derivatives of local densities

    math.NT 2019-08 conditional novelty 8.0 of 10

    The authors prove the local and global Kudla-Rapoport conjectures and, combining with results of Liu and Garcia-Sankaran, the arithmetic Siegel-Weil formula in arbitrary dimension.

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