Seminar:
Quantum Topology and Field Theory
Event time:
Thursday, February 6, 2025 - 4:30pm
Location:
Zoom/KT801
Speaker:
Wenjun Niu
Speaker affiliation:
Perimeter Institute for Theoretical Physics
Event description:
In this talk, I will explain my joint work with R. Abedin, in which we construct, for each Lie algebra g, a Hopf algebra and a spectral R-matrix satisfying quantum Yang-Baxter equation. This Hopf algebra is a quantization of the Lie bi-algebra structure on T^*g[t] defined by Yang’s r-matrix, and therefore we call it the Yangian of T^*g. The construction is based on the category of coherent sheaves on the equivariant affine grassmannian associated to the formal group of g, and is motivated by the study of the category of line defects in a 4 dimensional holomorphic-topological field theory.