Quantum Algebras, Spectral R-matrices from Equivariant Affine Grassmannians - Part 2

This lecture is the second part of a series by Wenjun Niu from Perimeter Institute, delivered on April 16, 2025, at the M-Seminar at Kansas State University. Explore joint work with R. Abedin on constructing new quantum algebras and spectral solutions of quantum Yang-Baxter equations. The presentation focuses on quantizations of Yang's r matrix associated with the cotangent Lie algebra d=T^*g of a Lie algebra g, based on the geometry of equivariant affine Grassmannian. Learn about the holomorphic-topological twist of 4d N=2 gauge theories and its connection to equivariant affine Grassmannians. Discover the gauge-theoretic origin of spectral solutions to Yang-Baxter equations as explained in Costello-Witten-Yamazaki's work. The lecture also covers how to dynamically twist quantum algebra over formal neighborhoods of the moduli space of G-bundles to obtain dynamical R-matrices.