表示论研讨班：On the Gaiotto conjecture

中科院数学与系统科学研究院

数学研究所

学术报告

表示论研讨班

报告人：杨若涛 博士（Skoltech）  

题  目：On the Gaiotto conjecture I: statement

时  间：2023.07.06（星期四）14:30-15:30

地  点：N803

摘  要：A conjecture of Davide Gaiotto predicts a geometrization of the category of representations of the quantum supergroup. This geometrization is given by the category of twisted D-modules on the affine Grassmannian with a certain equivariant condition. In this talk, we will introduce the precise statement of the Gaiotto conjecture and the recent progress. This is based on the joint works with R. Travkin, and also the works of A. Braverman, M. Finkelberg, V. Ginzburg and R.Travkin.

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题  目：On the Gaiotto conjecture II: sketch of proof

时  间：2023.07.06（星期四））15:45-16:45

地  点：N803

摘  要：In this talk, our goal is to introduce the tools used in the proof and sketch the proof of the Gaiotto conjecture for GL(M|N).