Hola,
¿eres nuevo aquí?

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

Tengo cuenta

Regístrate

Ver video

INNEQUAL

Financiado

Cerrado

Interactions between von Neumann algebras and quantum algebras

During his construction of a solid mathematical theory behind - the at that time completely new - quantum mechanics, von Neumann introduced his eponymous algebras to describe observable quantities. These von Neumann algebras becam... ver más

31/08/2018

166K€

Presupuesto del proyecto: 166K€

Líder del proyecto

UNIVERSITEIT UTRECHT No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2018-08-31

MSCA-IF-2015-EF: Marie Skłodowska-Curie Individual F...

I+D

Cerrada hace 9 años

0% 100%

Información adicional privada

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

1 Participantes

165.60K€ | Lider

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

NCGQG Noncommutative geometry and quantum groups 1M€ Cerrado

MTM2009-14464-C02-02 METODOS COMPUTACIONALES Y HOMOLOGICOS EN ALGEBRAS NO ASOCIAT... 21K€ Cerrado

MTM2009-14464-C02-01 METODOS COMPUTACIONALES Y HOMOLOGICOS EN ALGEBRAS NO ASOCIAT... 144K€ Cerrado

NCD OF QFT Non commutative deformations of quantum field theory 100K€ Cerrado

GSQS Geometry and Symmetry of Quantum Spaces 50K€ Cerrado

LCFTdual Logarithmic conformal field theory as a duality between Brau... 186K€ Cerrado

Duración del proyecto: 30 meses Fecha Inicio: 2016-02-22
Fecha Fin: 2018-08-31

Líder del proyecto

UNIVERSITEIT UTRECHT No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 166K€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto During his construction of a solid mathematical theory behind - the at that time completely new - quantum mechanics, von Neumann introduced his eponymous algebras to describe observable quantities. These von Neumann algebras became a basic tool in various other branches of mathematics, including Lie theory (the theory of continuous symmetries), non-commutative geometry (a quantum version of classical differential geometry), and, surprisingly, the theory of knots, for which V. Jones received a Fields Medal. Strangely enough, although the theory of von Neumann algebras is quite pervasive in mathematics and mathematical physics, their actual construction and classification remains largely shrouded in mystery (despite deep work on classification by A. Connes, also getting him a Fields Medal). Particularly unsatisfactory is that the types of von Neumann algebras that are most relevant to quantum mechanics, so-called type III-algebras, are very rare. With this Marie-Curie fellowship, I pick up the two challenges of construction and classification, especially focussing on Connes' famous rigidity conjecture for lattices in Lie groups as well as type III von Neumann algebras, using two entirely new approaches. The first is the use of finite-dimensional approximations, that I used previously in a different context (studying the Haagerup property and Lp-Fourier multipliers). The second new approach is based on the theory of quantum groups. Utrecht University (host institution) is the unique place in Europe housing both experts in non-commutative analysis and Lie theory, and thereby provides exactly the necessary (complementary) expertise that is necessary to attack these deep and profound problems. The results will have a lasting impact on and connect further the theories of non-commutative geometry, operator algebras, Lie theory, quantum group theory and partly quantum physics.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores