3 problems
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Quantum deformation and Langlands duality for relative Lie algebra cohomology
Quantum deformation and Langlands duality conjecture. There exists a square-zero deformation
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Borel's automorphy conjecture for representations with non-zero relative Lie algebra cohomology
Borel's automorphy conjecture. Every such representation is an automorphic representation for a suitable uniform discrete subgroup of .
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Borel's automorphic forms conjecture for cohomology of locally symmetric spaces
Borel's conjecture. The cohomology of the automorphic local system is computed by relative Lie algebra cohomology of automorphic forms: