Abstract In this talk, we will use "brane quantization" to study the representation theory of Double affine Hecke algebras.About the speaker Du Pei 裴度University of Southern DenmarkDu Pei is currently an associate professor of quantum mathematics at the University of Southern Denmark. He obtained his Ph.D. in theoretical physics in 2016 from Caltech. His main research interests concern the geo...
PrerequisiteLie algebras, representations.AbstractI will start from the reminder of the representation theory of simple finite-dimensional Lie algebras. Then I will define the current algebras and some the most important representations of them. I will explain how are these modules related to some families of orthogonal polynomials, describe the structure of these modules