Global invariants of arithmetic varieties / Invariants globaux des variétés arithmétiques

Collection Global invariants of arithmetic varieties / Invariants globaux des variétés arithmétiques

Organisateur(s) Botero, Ana ; Freixas Montplet, Gérard ; Navarro Garmendia, Alberto ; Sombra, Martin

Date(s) 09/10/2023 - 13/10/2023

URL associée https://conferences.cirm-math.fr/2857.html

00:00:00 / 00:00:00

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José Burgos' variations of arithmetic intersection theory

De Jürg Kramer

In our talk we will give a panorama of José Burgos' contributions to various generalizations of the classical arithmetic intersection theory developed by Gillet and Soulé. It starts with the extension of Arakelov geometry allowing to incorporate logarithmically singular metrics with applications to Shimura varieties. Further generalizations include toric varieties as well as the most recent results about arithmetic intersections of arithmetic b-divisors with applications to mixed Shimura varieties including the theory of Siegel-Jacobi forms.

Informations sur la vidéo

Date de captation 11/10/2023
Date de publication 17/11/2023
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Luca Recanzone
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20102103
Citer cette vidéo Kramer, Jürg (11/10/2023). José Burgos' variations of arithmetic intersection theory. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20102103
URL https://dx.doi.org/10.24350/CIRM.V.20102103

Domaine(s)

Théorie des nombres

Bibliographie

GIL, José I. Burgos, KRAMER, Jürg, et KÜHN, Ulf. Arithmetic characteristic classes of automorphic vector bundles. Documenta Mathematica, 2005, vol. 10, p. 619-716. - https://www.mathematik.hu-berlin.de/~kramer/doc_math_version.pdf
DARVAS, Tamás, DI NEZZA, Eleonora, et LU, Chinh H. Monotonicity of nonpluripolar products and complex Monge–Ampère equations with prescribed singularity. Analysis & PDE, 2018, vol. 11, no 8, p. 2049-2087. - https://doi.org/10.2140/apde.2018.11.2049
YUAN, Xinyi et ZHANG, Shou-Wu. Adelic line bundles over quasi-projective varieties. arXiv preprint arXiv:2105.13587, 2021. - https://arxiv.org/abs/2105.13587

Codes MSC

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