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Trace Formulas for Motivic Volumes

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Abstract

We present some recent trace formulas for varieties over valued fields which can be seen as analogues of Grothendieck’s Lefschetz trace formula for varieties over finite fields. This involves motivic integration and non-archimedean geometry.

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Acknowledgments

During the preparation of this paper, the research of the author has been partially supported by the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013) ERC Grant agreement no. 246903/NMNAG.

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Authors and Affiliations

  1. Institut Mathématique de Jussieu, Sorbonne Universités, UPMC Univ Paris 06, UMR 7586 CNRS, F-75005, Paris, France

    François Loeser

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  1. François Loeser
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Correspondence to François Loeser.

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Lecture at the Annual Meeting 2015 of the Vietnam Institute for Advanced Study in Mathematics

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Loeser, F. Trace Formulas for Motivic Volumes. Acta Math Vietnam 41, 409–424 (2016). https://doi.org/10.1007/s40306-016-0177-9

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  • DOI: https://doi.org/10.1007/s40306-016-0177-9

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