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GeoLocLang

Cel

"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."

System finansowania

ERC-ADG - Advanced Grant

Instytucja przyjmująca

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Wkład UE netto
€ 1 301 863,00
Adres
RUE MICHEL ANGE 3
75794 Paris
Francja

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Region
Ile-de-France Ile-de-France Paris
Rodzaj działalności
Research Organisations
Linki
Koszt całkowity
€ 1 301 863,00

Beneficjenci (1)