2 problems

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Frenkel–Gaitsgory conjecture on critical-level representations and local Langlands categories
Let $G$ be a semisimple algebraic group, let $\sigma$ be a local Langlands parameter, and let $\C_\sigma$ be the category associated to $\sigma$ . Let $\hg$ be the affine Kac–Moody…
Conjectureopenaffine-kac-moody-algebras critical-level-representations local-geometric-langlandsarXiv posted 2 days ago
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Gaitsgory's factorization conjecture for local systems on the formal punctured disc
Gaitsgory's factorization conjecture. There exists a fully faithful functor
Conjectureopenfactorization-algebras local-geometric-langlands local-systemsarXiv posted 2 days ago

Frenkel–Gaitsgory conjecture on critical-level representations and local Langlands categories