Jean Morlet Chair - Classical and p-adic aspects of the Kudla program / Chaire Jean Morlet - Aspects classiques et p-adiques du programme Kudla

Collection Jean Morlet Chair - Classical and p-adic aspects of the Kudla program / Chaire Jean Morlet - Aspects classiques et p-adiques du programme Kudla

Organizer(s) Andreatta, Fabrizio ; Grossi, Giada ; Iovita, Adrian ; Nicole, Marc-Hubert ; Rodrigues Jacinto, Joaquin

Date(s) 08/06/2026 - 12/06/2026

linked URL https://conferences.cirm-math.fr/3417.html

00:00:00 / 00:00:00

4 13

Arithmetic cycles and L-functions - Lecture 1

By Benjamin Howard

These lectures are intended as an introductory course on Kudla's program.

Lecture 1 will focus on the origins of the theory: the work of Kudla-Millson on theta series valued in the cohomology of orthogonal symmetric spaces, at least in the case of orthogonal groups of signature (n, 2).
Lecture 2 will focus on the work of Kudla Rapoport, Li-Zhang, and others on the arithmetic Siegel-Weil formula, relating algebraic cycles on unitary Shimura varieties to derivatives of Eisenstein series.
Lecture 3 will focus on the work of Feng-Yun-Zhang on a higher derivative arithmetic Siegel-Weil formula on moduli spaces of unitary shtukas, and an extension of it that leads to a higher derivative Gross-Zagier style formulas over function fields.

Information about the video

Date of recording 09/06/2026
Date of publication 06/07/2026
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20497303
Cite this video Howard, Benjamin (09/06/2026). Arithmetic cycles and L-functions - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20497303
URL https://dx.doi.org/10.24350/CIRM.V.20497303

Domain(s)

Number Theory

Bibliography

KUDLA, Stephen S. Special cycles and derivatives of Eisenstein series. arXiv preprint math/0308295, 2003. - https://doi.org/10.48550/arXiv.math/0308295
LI, Chao. Geometric and arithmetic theta correspondences. arXiv preprint arXiv:2402.12159, 2024. - https://doi.org/10.48550/arXiv.2402.12159

MSC codes

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