CORDIS Project
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This project explores the Langlands correspondence, linking automorphic forms and Galois representations. It aims to describe the spectrum of Hecke algebras, extend the correspondence to new fields, and develop a categorification necessary for a stronger form of this correspondence.
R.
Langlands conjectured the existence of a correspondence between automorphic spectrums of Hecke algebras and representations of Galois groups of global fields.
The existence of such correspondence is one of the main conjectures in mathematics.
Even if not known in full generality it leads to proofs of Ferma and Sato-Tate conjectures.
This project is on three aspects of the Langlands correspondence.
The first part of this project is a description of the spectrum of Hecke algebras on the space g…
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