Mathematical Sciences: Yang-Baxter Operators, Quantum Field Theories and Invariants in Low-Dimensional Topology via HopfAlgebras and Representations of Monoidal Categories

Yetter将探讨最近发现的低维拓扑、统计力学、量子场论、Hopf代数和一元范畴论之间相互作用的几个方面。特别是，他将使用Hopf代数和范畴论技术来构建和分类1)量子Yang-Baxter方程的解和2)拓扑和共形量子场论。即使是部分结果也会揭示新发现的经典结点和连杆的多项式不变量的意义和相互关系。

Yetter will explore several aspects of the recently discovered interactions between low-dimensional topology, statistical mechanics, quantum field theory, Hopf algebra and monoidal category theory. In particular, he will use Hopf algebra and category theoretic techniques to construct and, if possible, classify 1) solutions to the quantum Yang-Baxter equation and 2) topological and conformal quantum field theories. Even partial results would shed light on the meaning and interrelations of the newly discovered polynomial invariants of classical knots and links.