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Langlands Duality and Invariant Differential Operators
Published 2025-03-01“…The connection to the Langlands program is through the subgroup M, which other authors use in the context of the Langlands program. …”
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Vertex algebra constructions for (analytic) geometric Langlands in genus zero
Published 2024-12-01“…Abstract We employ two-dimensional chiral algebra techniques to produce solutions of certain differential and integral equations which occur in the context of the Analytic Geometric Langlands Program. In particular, we build “Multiplication Kernels” K 3(x, x′, x′′) which intertwine the action of s l 2 $$ \mathfrak{s}{\mathfrak{l}}_2 $$ Gaudin Hamiltonians on three sets of variables.…”
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