Hola,
¿eres nuevo aquí?

Regístrate gratis y conecta tu empresa con financiación pública, partners y proyectos.

Tengo cuenta

Regístrate

Ver video

StabilityDTCluster

Financiado

Cerrado

Stability conditions Donaldson Thomas invariants and cluster varieties

This proposal is concerned with the homological properties of Calabi-Yau threefolds, the geometric structures which play a crucial role in string theory. Rather than working directly with categories of sheaves, we focus on a clos... ver más

30/09/2021

USFD

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

THE UNIVERSITY OF SHEFFIELD No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Ver 2 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2021-09-30

ERC-ADG-2014: ERC Advanced Grant

I+D

Cerrada hace 10 años

0% 100% 100%

Información adicional privada

No hay información privada compartida para este proyecto. Habla con el coordinador.

2 Participantes

USFD

1.56M€ | Lider

CERAMICA LA ESCANDELLA

598.64K€ | Participante

Conecta tu I+D

¿Tienes un proyecto y buscas un partner? Gracias a nuestro motor inteligente podemos recomendarte los mejores socios y ponerte en contacto con ellos. Te lo explicamos en este video

Proyectos interesantes

AN D-T INVARIANTS Analytic Donaldson Thomas invariants 164K€ Cerrado

INVLOCCY Invariants of local Calabi Yau 3 folds 166K€ Cerrado

MCSK Moduli of curves sheaves and K3 surfaces 2M€ Cerrado

STACKSCATS Stacks and Categorification 270K€ Cerrado

CAMEGEST Extremal Kaehler metrics and geometric stability 229K€ Cerrado

MTM2011-28326-C02-02 ESTRUCTURAS GEOMETRICAS ESPECIALES SOBRE VARIEDADES Y APLICA... 58K€ Cerrado

Duración del proyecto: 72 meses Fecha Inicio: 2015-09-21
Fecha Fin: 2021-09-30

Líder del proyecto

THE UNIVERSITY OF SHEFFIELD No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 2M€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto This proposal is concerned with the homological properties of Calabi-Yau threefolds, the geometric structures which play a crucial role in string theory. Rather than working directly with categories of sheaves, we focus on a closely-related class of models defined using quivers with potentials, which have themselves been the subject of intensive research over the last decade. Associated to a quiver with potential are two complex manifolds: the space of stability conditions and the cluster variety. Recent work by physicists Gaiotto, Moore and Neitzke suggests that there is a remarkable geometric relationship between these spaces, involving Donaldson-Thomas invariants and the Kontsevich-Soibelman wall-crossing formula. Work by the PI and others over the last couple of years has paved the way for a rigorous mathematical understanding of this relationship. This has the potential to open up new vistas in algebra and geometry, as well as greatly enhancing our understanding of the mathematics of quantum field theory. Our proposal combines powerful general constructions with specific computable examples. We will work initially with a class of examples related to triangulated surfaces; here the relevant spaces can be identified with familiar objects in the topology of surfaces, including moduli spaces of quadratic differentials, projective structures and local systems. These examples already involve deep mathematics, and are closely related to quantum field theories of current interest in theoretical physics. This proposal involves an unusually wide range of mathematics. Our ambition is to assemble a team of 4 research assistants having a sufficiently broad expertise to make progress on this exciting multi-disciplinary project. The PI is in a perfect position to lead such a team: he invented stability conditions, carried out important work on Donaldson-Thomas invariants, and proved a major theorem which forms one of the starting points of the proposal.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores