题目 : Quantum sl(2) and low dimensional topology.

报告人：Christian BLANCHET，巴黎西岱大学（Université Paris Cité）

时间：10月15日（星期三）16: 00-17: 00

地点：东区第五教学楼5106教室

摘要：This will be a gentle introduction to Quantum Topology. After Jones, Witten, Reshetikhin-Turaev in  1984-90, Quantum Topology has developped, connecting Quantum Algebra, low dimensional Topology and Quantum Field Theory. Our goal is to explain how the structures arising from the representions of a quantum deformation  of the (envelopping algebra of ) the Lie algebra sl(2) produce invariant of knots and 3-dimensional manifolds, representations of braid groups and mapping class groups, and finally so-called Topological Quantum Field Theories.