Hola,
¿eres nuevo aquí?

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

Tengo cuenta

Regístrate

Ver video

TameHodge

Financiado

Cerrado

Tame geometry and transcendence in Hodge theory

Hodge theory, as developed by Deligne and Griffiths, is the main tool for analyzing the geometry and arithmetic of complex algebraic varieties, that is, solution sets of algebraic equations over the complex numbers. It occupies a... ver más

30/09/2026

UBER

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

HUMBOLDTUNIVERSITAET ZU BERLIN 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 2021-05-22

ERC-2020-ADG: ERC ADVANCED GRANT

I+D

Cerrada hace 4 años

0% 100% 100%

Información adicional privada

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

2 Participantes

UBER

1.82M€ | Lider

METALOGENIA RESEARCH y TECHN...

606.32K€ | 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

IPAHOT-PVC Integral p adic Hodge Theory and p adic Vanishing Cycles 173K€ Cerrado

NMST New methods and interacions in Singularity Theory and beyond 1M€ Cerrado

AlgTateGro Constructing line bundles on algebraic varieties around c... 1M€ Cerrado

ALKAGE Algebraic and Kähler geometry 2M€ Cerrado

MTM2013-46231-P GEOMETRIA ALGEBRAICA Y GEOMETRIA ARITMETICA: METODOS DIFEREN... 81K€ Cerrado

RATIONAL POINTS Fundamental groups etale and motivic local systems Hodge... 894K€ Cerrado

Duración del proyecto: 64 meses Fecha Inicio: 2021-05-22
Fecha Fin: 2026-09-30

Líder del proyecto

HUMBOLDTUNIVERSITAET ZU BERLIN 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 Hodge theory, as developed by Deligne and Griffiths, is the main tool for analyzing the geometry and arithmetic of complex algebraic varieties, that is, solution sets of algebraic equations over the complex numbers. It occupies a central position in mathematics through its relations to differential geometry, algebraic geometry, differential equations and number theory. It is an essential fact that at heart, Hodge theory is NOT algebraic. On the other hand, some of the deepest conjectures in mathematics (the Hodge conjecture and the Grothendieck period conjecture) suggest that this transcendence is severely constrained. Recent work of myself and others suggests that tame geometry, whose idea was introduced by Grothendieck in the 1980s, is the natural setting for understanding these constraints. Tame geometry, developed by model-theorist as o-minimal geometry, has for prototype real semi-algebraic geometry, but is much richer. As a spectacular application of tame geometry, Bakker, Tsimerman and I recently reproved a famous result of Cattani-Deligne-Kaplan, often considered as the most serious evidence for the Hodge conjecture: the algebraicity of Hodge loci. I propose to lead a group at HU Berlin to explore this striking new connection between tame geometry and Hodge theory, with three axes: (I) attack the arithmetic of periods coming from the moduli space of abelian differentials; this opens a completely new perspective on this space cherished by dynamicists; (II) attack some fundamental questions for general variations of Hodge structures: fields of definition of Hodge loci (related to the conjecture that Hodge classes are absolute Hodge classes); atypical intersections, for instance for families of Calabi- Yau varieties; Ax-Schanuel conjecture for mixed period maps and for Hodge bundles; (III) attack Simpson’s « Standard conjecture » for local systems through the tame geometry of the non-abelian Hodge correspondence.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores