Lecturer: Tianqing Zhu (YMSC, Tsinghua)
Abstract: K-theoretic quasimap counting to quiver varieties is one of the core subject in the enumerative geometry. It turns out that it is connected to the representation theory of the Maulik-Okounkov quantum affine algebra via the stable envelopes. It has long been conjectured that the Maulik-Okounkov quantum affine algebra is isomorphic to the quantum affine algebra of the corresponding quiver type. In this course, I will give an approach to the proof of the isomorphism in the affine type A via the techniques in the quantum difference equations of affine type A, which is the difference equation corresponding to the capping operator in the quasimap countings. If time permits, I will also talk about how to use the isomorphism to construct the solution for the 2-point qKZ equation of the quantum toroidal algebras.
Time: 10:00AM – 11:30AM, Oct. 26, Oct. 27, Nov. 2 and Nov. 3
Location: Room 1610 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
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