• Corpus ID: 244714742

An Extension of the Kazhdan-Lusztig Equivalence

  title={An Extension of the Kazhdan-Lusztig Equivalence},
  author={Lin Chen and Yuchen Fu},
We prove a tamely ramified version of the Kazhdan-Lusztig equivalence using factorization algebras. More precisely, we establish an equivalence between the DG category of Iwahori-integrable affine Lie algebra representations and the DG category of representations of the"mixed"quantum group. This confirms a conjecture by D. Gaitsgory in arXiv:1810.09054 [math.RT]. 

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