Innovating Works

RedLang

Financiado
Modular representation theory of reductive algebraic groups and local Geometric...
Modular representation theory of reductive algebraic groups and local Geometric Langlands duality "In the recent years the PI has been involved in several breakthrough results in the representation theory of reductive algebraic groups (in particular related to the computation of character formulas for simple and indecomposable... "In the recent years the PI has been involved in several breakthrough results in the representation theory of reductive algebraic groups (in particular related to the computation of character formulas for simple and indecomposable tilting modules), obtained using various techniques (in particular geometry and categorification). The present proposal aims at: 1. exploring the new perspectives offered by these results, which go beyond the computation of characters, and by the techniques we have already developed; 2. developing new geometric tools to support these advances. Our main geometric input will be the development of a modular Local Geometric Langlands duality, in the spirit of work of Bezrukavnikov for characteristic-0 coefficients, and of a modular ""ramified"" geometric Satake equivalence. We expect in particular applications in the study of tilting modules (e.g. their behaviour under restriction to reductive subgroups, and their multiplicative properties), and to the description of the center of the distribution algebra (with a view towards understanding the ""higher linkage"" phenomena)." ver más
31/08/2026
UCA
1M€
Duración del proyecto: 65 meses Fecha Inicio: 2021-03-24
Fecha Fin: 2026-08-31

Línea de financiación: concedida

El organismo H2020 notifico la concesión del proyecto el día 2021-03-24
Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:
ERC-2020-COG: ERC CONSOLIDATOR GRANTS
Cerrada hace 4 años
Presupuesto El presupuesto total del proyecto asciende a 1M€
Líder del proyecto
UNIVERSITE CLERMONT AUVERGNE No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico TRL 4-5