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Shimura varieties and the Birch--Swinnerton-Dyer conjecture

Project description

Tackling one of the most important open questions in mathematics from a new angle

The Birch and Swinnerton-Dyer (BSD) conjecture is one of the seven unsolved problems in mathematics identified as the Millennium Prize Problems in 2000. Relating to rational solutions to equations defining elliptic curves, much progress has been made for a wide class of elliptic curves over the rationals. The EU-funded ShimBSD project is working towards expanding descriptions significantly. Researchers plan to prove new cases of the BSD conjecture and other conjectures beyond the realm of the last critical breakthroughs in the 1990s using an innovative approach.

Call for proposal

ERC-2020-COG
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Host institution

THE UNIVERSITY OF WARWICK
Address
Kirby Corner Road - University House
CV4 8UW Coventry
United Kingdom
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 739 143

Beneficiaries (1)

THE UNIVERSITY OF WARWICK
United Kingdom
EU contribution
€ 1 739 143
Address
Kirby Corner Road - University House
CV4 8UW Coventry
Activity type
Higher or Secondary Education Establishments