表示论研讨班：Fundamental Local Equivalence in Quantum Local Langlands Program

数学研究所

表示论研讨班

报告人： 杨若涛 博士（Skoltech University 俄罗斯）

题  目：Fundamental Local Equivalence in Quantum Local Langlands Program

时  间：2020.10.30（星期五），10:00-12:00

地  点：晨兴110室

摘  要：In 2008, D.Gaitsgory and J.Lurie proposed the Fundamental Local Equivalence conjecture. This conjecture realizes the category of G(O)-integrable affine Kac-Moody algebra representations and the category of quantum group representations as to the category of Whittaker D-modules on affine Grassmannian. In this talk, we will introduce related works as well as its Iwahori version which establishes equivalences among the Iwahori integrable affine Kac-Moody algebra representations, mixed quantum group representations, and the Whittaker D-modules on affine flags.