Hola,
¿eres nuevo aquí?

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

Tengo cuenta

Regístrate

Ver video

NewtonStrat

Financiado

Cerrado

Newton strata geometry and representations

The Langlands programme is a far-reaching web of conjectural or proven correspondences joining the fields of representation theory and of number theory. It is one of the centerpieces of arithmetic geometry, and has in the past de... ver más

30/06/2024

1M€

Presupuesto del proyecto: 1M€

Líder del proyecto

UNIVERSITAET MUENSTER 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 3 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2024-06-30

ERC-2017-COG: ERC Consolidator Grant

I+D

Cerrada hace 7 años

0% 100% 100%

Información adicional privada

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

3 Participantes

530.78K€ | Lider

WIRELESS ZETA TELECOMUNICACI...

141.82K€ | Participante

TUM

671.72K€ | 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

GReatLaP p adic Groups Representations and the Langlands Program 1M€ Cerrado

PariTorMod P adic Arithmetic Geometry Torsion Classes and Modularity 1M€ Cerrado

MTM2015-66716-P PROGRAMA ARITMETICO DE LANGLANDS: AVANCES EN RECIPROCIDAD Y... 103K€ Cerrado

AAMOT Arithmetic of automorphic motives 1M€ Cerrado

CBGA Cohomology of Bianchi Groups and Arithmetic 270K€ Cerrado

RedLang Modular representation theory of reductive algebraic groups... 1M€ Cerrado

Duración del proyecto: 77 meses Fecha Inicio: 2018-01-24
Fecha Fin: 2024-06-30

Líder del proyecto

UNIVERSITAET MUENSTER No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 1M€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto The Langlands programme is a far-reaching web of conjectural or proven correspondences joining the fields of representation theory and of number theory. It is one of the centerpieces of arithmetic geometry, and has in the past decades produced many spectacular breakthroughs, for example the proof of Fermat’s Last Theorem by Taylor and Wiles. The most successful approach to prove instances of Langlands’ conjectures is via algebraic geometry, by studying suitable moduli spaces such as Shimura varieties. Their cohomology carries actions both of a linear algebraic group (such as GLn) and a Galois group associated with the number field one is studying. A central tool in the study of the arithmetic properties of these moduli spaces is the Newton stratification, a natural decomposition based on the moduli description of the space. Recently the theory of Newton strata has seen two major new developments: Representation-theoretic methods and results have been successfully established to describe their geometry and cohomology. Furthermore, an adic version of the Newton stratification has been defined and is already of prime importance in new approaches within the Langlands programme. This project aims at uniting these two novel developments to obtain new results in both contexts with direct applications to the Langlands programme, as well as a close relationship and dictionary between the classical and the adic stratifications. It is subdivided into three parts which mutually benefit from each other: Firstly we investigate the geometry of Newton strata in loop groups and Shimura varieties, and representations in their cohomology. Secondly, we study corresponding geometric and cohomological properties of adic Newton strata. Finally, we establish closer ties between the two contexts. Here we want to obtain analogues to results on one side for the other, but more importantly aim at a direct comparison that explains the similar behaviour directly.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores