The Birch--Swinnerton-Dyer conjecture: beyond dimension 1
Lead Research Organisation:
University College London
Department Name: Mathematics
Abstract
Abstracts are not currently available in GtR for all funded research. This is normally because the abstract was not required at the time of proposal submission, but may be because it included sensitive information such as personal details.
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)
Spherical varieties and p-adic families of cohomology classes
Loeffler, D
(2021)
On the Bloch--Kato conjecture for GSp(4) x GL(2)
| 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 |