The Birch--Swinnerton-Dyer conjecture: beyond dimension 1
Lead Research Organisation:
University College London
Department Name: Mathematics
Abstract
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Organisations
People |
ORCID iD |
| Sarah Zerbes (Principal Investigator) |
Publications
Loeffler, D
(2021)
On the Birch-Swinnerton-Dyer conjecture for modular abelian surfaces
Loeffler, D
(2021)
On the Bloch--Kato conjecture for GSp(4) x GL(2)
Loeffler, D
(2021)
Spherical varieties and p-adic families of cohomology classes
| Description | Together with my collaborator David Loeffler, we have proved many new cases of the Birch--Swinnerton-Dyer conjecture for abelian surfaces, making progress on one of the central open problems in mathematics. |
| Exploitation Route | The results of this work are expected to stimulate much new research in number theory and geometry. |
| Sectors | Other |