Hola,
¿eres nuevo aquí?

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

Tengo cuenta

Regístrate

Ver video

CAT REPTH

Financiado

Cerrado

Categorification in Representation Theory

The subject of representation theory originally arose from the study of symmetries on certain spaces. It has long been known that many two-dimensional geometric phenomena have algebraic explanations via the subject of representati... ver más

31/08/2013

UEA

45K€

Presupuesto del proyecto: 45K€

Líder del proyecto

UNIVERSITY OF EAST ANGLIA 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 FP7 notifico la concesión del proyecto el día 2013-08-31 No tenemos la información de la convocatoria

0% 100% 100%

Información adicional privada

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

1 Participantes

UEA

0.00€ | 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

PGC2018-096872-B-I00 GRUPOS, ESTRUCTURA LOCAL-GLOBAL E INVARIANTES NUMERICOS 26K€ Cerrado

B10NonAbBlcksETH Representation Theory of Blocks of Group Algebras with Non a... 171K€ Cerrado

GLORY Global Local Methods in Representation Theory 100K€ Cerrado

STABREP Geometric Models for Calabi Yau Algebras and Homological Mir... 213K€ Cerrado

SINGREP Linking singularity theory and representation theory with ho... 183K€ Cerrado

D07.SYMGPS.OX Vertices of simple modules for the symmetric and related fin... 161K€ Cerrado

Líder del proyecto

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

TRL 4-5

Presupuesto del proyecto 45K€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto The subject of representation theory originally arose from the study of symmetries on certain spaces. It has long been known that many two-dimensional geometric phenomena have algebraic explanations via the subject of representation theory. In the last fifteen years it has been conjectured that analogous explanations for problems ins three-dimensional geometry should raise from introducing so-called higher symmetries, giving rise to the subject of 2-representation theory, or categorification. This is the newly developing research area where this proposal is situated. The proposal has two main objectives: In her previous Marie Curie fellowship the applicant and her co-author have made significant progress on the representation theory of general linear groups over a field of positive characteristic by developing higher categorical methods to iteratively generate categories of representation for the general linear group of rank two. This yields very strong results on the categories of representations in this case, such as e.g. multi-gradings and braid group actions on their derived categories. The first aim of this proposal is to generalise these concepts to general linear groups of larger rank. The second objective investigates affine Hecke algebras, the applicant's main area of expertise prior to her Marie Curie fellowship, in the context of categorification. It applies newly developed concepts to algebras defined by Khovanov-Lauda-Rouquier and Varagnolo-Vasserot, which are known to have very similar representation theory to affine Hecke algebras of different types. The goal of this part of the project is to gain a thorough understanding of the homological structures of these algebras.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores