CORDIS Project
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This project aims to geometrically formulate the local Langlands correspondence for non-archimedean local fields. It seeks to create and analyze geometric objects related to this correspondence, enhancing understanding of p-adic Hodge theory and its implications in mathematics.
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""…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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