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Motivic integration with pseudo-finite residue field and fundamental lemma
Multi angle
Authors : Forey, Arthur (Author of the conference)
CIRM (Publisher )
14H60 - Vector bundles on curves and their moduli
14E18 - Arcs and motivic integration
CIRM (Publisher )
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Abstract :
I will present an adaptation of Cluckers-Loeser's theory of motivic constructible functions to the case of pseudo-finite residue field. This new tool allows us to prove a motivic version of Ngô's geometric stabilization theorem, inspired by the proof of Groechenig, Wyss and Ziegler. This in turns implies a motivic version of the fundamental lemma of Langlands-Shelstad. This is joint work with François Loeser and Dimitri Wyss.
Keywords : Hitchin fibration; motivic integration
MSC Codes : Keywords : Hitchin fibration; motivic integration
14H60 - Vector bundles on curves and their moduli
14E18 - Arcs and motivic integration
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/06/2023 Conference Date : 29/05/2023 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry ; Logic and Foundations Format : MP4 (.mp4) - HD Video Time : 00:58:31 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-05-29_Forey.mp4 
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Information on the Event
Event Title : Model theory of valued fields / Théorie des modèles des corps valuésEvent Organizers : Chatzidakis, Zoé ; Jahnke, Franziska ; Rideau-Kikuchi, Silvain Dates : 29/05/2023 - 02/06/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2761.html
Citation Data
DOI : 10.24350/CIRM.V.20051603Cite this video as: Forey, Arthur (2023). Motivic integration with pseudo-finite residue field and fundamental lemma. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20051603 URI : http://dx.doi.org/10.24350/CIRM.V.20051603 |
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Bibliography
- LOESER, François et WYSS, Dimitri. Motivic integration on the Hitchin fibration. arXiv preprint arXiv:1912.11638, 2019. - https://doi.org/10.14231/AG-2021-004
- GROECHENIG, Michael, WYSS, Dimitri, et ZIEGLER, Paul. Geometric stabilisation via 𝑝-adic integration. Journal of the American Mathematical Society, 2020, vol. 33, no 3, p. 807-873. - http://dx.doi.org/10.1090/jams/948
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