报告人: Professor Mikhail Khovanov (Columbia University)
摘要: We recall how the Jones polynomial of links lifts to a link homology theory which is functorial under link cobordisms in 4-space. Extending this homology theory to tangles relates the theory to a variety of categories in representation theory and geometry. Another extension, to a categorification of the Reshetikhin-Turaev invariants for SL(N), requires working with foams as an intermediate step. We will review these developments and sketch some open problems in the theory.
时间: 4月30日,周二,16:00
地点: 上海数学中心谷超豪报告厅