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math.RT2022
Affine Beilinson-Bernstein localization at the critical level
David Yang, Sam Raskin
We prove the Frenkel-Gaitsgory localization conjecture describing regular Kac-Moody representations at critical level via eigensheaves on the affine Grassmannian using categorical…
math.RT2021
Categorical Moy-Prasad theory
David Yang
We categorify the theory developed by Moy-Prasad in [MP94]. More precisely, we define a depth filtration on any category with an action of the loop group and prove a -c…