Lefschetz-Verdier trace formula and a generalization of a theorem of Fujiwara

Yakov Varshavsky

doi:10.1007/s00039-007-0596-9

Lefschetz-Verdier trace formula and a generalization of a theorem of Fujiwara

Yakov Varshavsky^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

The goal of this paper is to generalize a theorem of Fujiwara (Deligne's conjecture) to the situation appearing in a joint work [KV] with David Kazhdan on the global Langlands correspondence over function fields. Moreover, our proof is more elementary than the original one and stays in the realm of ordinary algebraic geometry, that is, does not use rigid geometry. We also give a proof of the Lefschetz-Verdier trace formula and of the additivity of filtered trace maps, thus making the paper essentially self-contained.

Original language	English
Pages (from-to)	271-319
Number of pages	49
Journal	Geometric and Functional Analysis
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/s00039-007-0596-9
State	Published - Apr 2007

Bibliographical note

Funding Information:
Keywords and phrases: Lefschetz trace formula, Deligne’s conjecture AMS Mathematics Subject Classification: Primary: 14F20; Secondary: 11G25, 14G15 The work was supported by the Israel Science Foundation (Grant No. 555/04)

Keywords

Deligne's conjecture
Lefschetz trace formula

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Lefschetz-Verdier trace formula and a generalization of a theorem of Fujiwara

Abstract

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Keywords

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