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.

Fields of science

• natural sciences › mathematics › pure mathematics › geometry
• natural sciences › mathematics › pure mathematics › arithmetics › L-functions

Programme(s)

• H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC)

Topic(s)

• ERC-2020-COG - ERC CONSOLIDATOR GRANTS

Call for proposal

ERC-2020-COG
See other projects for this call

Funding Scheme

ERC-COG - Consolidator Grant

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