Algebraicity of polyquadratic plectic points | Vidéo | Carmin.tv

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Algebraicity of polyquadratic plectic points

By Lennart Gehrmann

elliptic curves, rational points, p-adic methods

Appears in collection : Galois Representations, Automorphic Forms and L-Functions / Représentations galoisiennes, formes automorphes et leurs fonctions L

I will report on a plectic generalization of Stark-Heegner points. Inspired by Nekovar and Scholl's conjectures, these points are expected to control Mordell-Weil groups of higher rank elliptic curves. I will give strong evidence for this expectation in the case of polyquadratic CM fields. This is joint work with Michele Fornea.

Information about the video

Date of recording 6/20/22
Date of publication 7/25/22
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19934903
Cite this video Gehrmann Lennart (6/20/22). Algebraicity of polyquadratic plectic points. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19934903
URL https://dx.doi.org/10.24350/CIRM.V.19934903

Domain(s)

Number Theory

Bibliography

FORNEA, Michele et GEHRMANN, Lennart. Plectic Stark-Heegner points. arXiv preprint arXiv:2104.12575, 2021. - https://doi.org/10.48550/arXiv.2104.12575
FORNEA, Michele, GUITART, Xavier, et MASDEU, Marc. Plectic p-adic invariants. Advances in Mathematics, 2022, vol. 406, p. 108484. - https://doi.org/10.1016/j.aim.2022.108484
FORNEA, Michele et GEHRMANN, Lennart. On the algebraicity of polyquadratic plectic points. arXiv preprint arXiv:2203.15998, 2022. - https://doi.org/10.48550/arXiv.2203.15998
HERNÁNDEZ, Víctor et MOLINA, Santiago. Plectic points and Hida-Rankin p-adic L-functions. arXiv preprint arXiv:2202.12573, 2022. - https://doi.org/10.48550/arXiv.2202.12573

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