Sung Kim, USC

Abstract: Modular tensor categories (MTCs) encode the algebraic theory of topological phases of matter. They are relatively well-studied models for topological quantum computation and knot theory plays a vital role in studying these categories. In this talk, I will explain how knots, links, and braids are used to study the connection between MTCs and topological quantum computation. Although this talk will primarily encompass perspectives from algebra and topology, the target audience for this talk is any math graduate student in any level or discipline.