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Representation Theory Seminar - Siwei Xu

Siwei Xu
October 30, 2025
4:10 pm - 5:10 pm
Math Tower (MW) 154

231 W 18th Ave, Columbus, OH 43210

Siwei Xu

The Ohio State University

Title

Affine Yangians and quantum toroidal algebras in type A

 

Abstract

Abstract: The main objects of my talk are the affine Yangian and the quantum toroidal algebra of type A with two deformation parameters, as introduced in the work of Bershtein and Tsymbaliuk (2019). These algebras first appeared in Maulik and Okounkov’s 2012 work, where they were realized in a purely geometric form through the equivariant cohomology of quiver varieties. In this talk, I construct an explicit functor from an appropriate category of representations of the affine Yangian associated with sl(mn) to that of the quantum toroidal algebra associated with sl(m) for all positive integers m and n, which extends the construction of Gautam and Toledano-Laredo (2016).

 

 

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