Periods of elliptic surfaces | Vidéo | Carmin.tv

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Periods of elliptic surfaces

By Francois Greer

Appears in collection : Cycles on moduli spaces / Cycles sur les espaces de modules

We explore the images of period maps for moduli spaces of elliptic surfaces with a section. All classical cases of the E_8 transfer conjecture are settled. We verify certain predictions of the Hodge Conjecure for fourfolds, and present a counterexample to the Local Invariant Cycle Theorem with integer coefficients.

Information about the video

Date of recording 20/11/2025
Date of publication 03/12/2025
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.20404403
Cite this video Greer, Francois (20/11/2025). Periods of elliptic surfaces. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20404403
URL https://dx.doi.org/10.24350/CIRM.V.20404403

Domain(s)

Algebraic Geometry

Bibliography

ENGEL, Philip, GREER, François, et WARD, Abigail. Periods of elliptic surfaces with $ p_g= q= 1$. arXiv preprint arXiv:2308.04563, 2023. - https://doi.org/10.48550/arXiv.2308.04563
GREER, François et ZHANG, Yilong. Elliptic-elliptic surfaces and the Hesse pencil. arXiv preprint arXiv:2409.18927, 2024. - https://doi.org/10.48550/arXiv.2409.18927

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