CORDIS
EU research results

CORDIS

English EN

GeoLocLang

Objective

"I formulated recently a conjecture that should allow to geometrize the local Langlands correspondence over a non-archimedean local field. This mixes p-adic Hodge theory, the geometric Langlands program and the classical local Langlands correspondence. This conjecture says that given a discrete local Langlands parameter of a reductive group over a local field of equal or unequal characteristic, one should be able to construct a perverse Hecke eigensheaf on the stack of G-bundles on the "curve" I defined and studied in my joint work with Fontaine.
I propose to construct, study and establish the basic properties of the geometric objects involved in this conjecture, this stack of G-bundles being a "perfectoid stacks" in the framework of Scholze theory of perfectoid spaces. At the same time I propose to establish the first steps in the proof of this conjecture, study particular cases in more details and explore consequences of this conjecture."
Leaflet | Map data © OpenStreetMap contributors, Credit: EC-GISCO, © EuroGeographics for the administrative boundaries

Host institution

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS

Address

Rue Michel Ange 3
75794 Paris

France

Activity type

Research Organisations

EU Contribution

€ 1 301 863

Beneficiaries (1)

Sort alphabetically

Sort by EU Contribution

Expand all

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS

France

EU Contribution

€ 1 301 863

Project information

Grant agreement ID: 742608

Status

Ongoing project

  • Start date

    1 October 2017

  • End date

    30 September 2022

Funded under:

H2020-EU.1.1.

  • Overall budget:

    € 1 301 863

  • EU contribution

    € 1 301 863

Hosted by:

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS

France