Fibring of manifolds and groups

Project description

Identifying the ways in which a circle is linked to a non-sphere is not as easy as it seems

Topology is the mathematical study of properties preserved through deformation, twisting, and stretching of objects. For example, a circle is topologically equivalent to an ellipse into which it can be stretched. Manifolds are objects that can be mapped in this way. Fibres, and fibring, describe the mathematical way in which a point on the base manifold is projected to a neighbouring space. Numerous important questions remain unanswered in relation to the fibring of manifolds and groups. The EU-funded FIBRING project is tackling several of them with the goal of achieving a complete description of all possible fibrings over the circle for aspherical manifolds and groups in high dimensions.

Fields of science

• medical and health sciences › clinical medicine › surgery
• natural sciences › mathematics › pure mathematics › topology

Programme(s)

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

Topic(s)

• ERC-2019-STG - ERC Starting Grant

Call for proposal

ERC-2019-STG
See other projects for this call

Funding Scheme

ERC-STG - Starting Grant

Host institution

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD

Address

Wellington Square University Offices
OX1 2JD Oxford
United Kingdom

Activity type

Higher or Secondary Education Establishments

EU contribution

€ 1 498 660

Beneficiaries (2)

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD

United Kingdom

EU contribution

€ 1 498 660

Address

Wellington Square University Offices
OX1 2JD Oxford

Activity type

Higher or Secondary Education Establishments

UNIVERSITAET BIELEFELD

Participation ended

Germany

EU contribution

€ 0

Address

Universitaetsstrasse 25
33615 Bielefeld

Activity type

Higher or Secondary Education Establishments