Zeta functions of Shimura varieties: past, present, and the near future | Vidéo | Carmin.tv

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Zeta functions of Shimura varieties: past, present, and the near future

Appears in collection : Automorphic forms, endoscopy and trace formulas / Formes automorphes, endoscopie et formule des traces

I will first recall the general expectations of Shimura, Langlands, and Kottwtiz on the shape of the zeta function of a Shimura variety, or more generally its etale cohomology. I will then report on some recent progress which partially fulfills these expectations, for Shimura varieties of unitary groups and special orthogonal groups. Finally, I will give a preview of some foreseeable developments in the near future.

Information about the video

Date of recording 19/09/2023
Date of publication 12/10/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20094603
Cite this video Zhu, Yihang (19/09/2023). Zeta functions of Shimura varieties: past, present, and the near future. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20094603
URL https://dx.doi.org/10.24350/CIRM.V.20094603

Domain(s)

Bibliography

KISIN, Mark, SHIN, Sug Woo, et ZHU, Yihang. The stable trace formula for Shimura varieties of abelian type. arXiv preprint arXiv:2110.05381, 2021. - https://doi.org/10.48550/arXiv.2110.05381

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