Galois representations
classification
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conjecturesgaloisgroupspartrepresentationssomealgebraicanalysis
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In the first part of this paper we try to explain to a general mathematical audience some of the remarkable web of conjectures linking representations of Galois groups with algebraic geometry, complex analysis and discrete subgroups of Lie groups. In the second part we briefly review some limited recent progress on these conjectures.
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