北京雁栖湖应用数学研究院

黄林哲 , 刘正伟 , 塞巴斯蒂安·帕尔库 , 王亦龙 , 吴劲松

Francis Bonahon

2024年10月23日 09:00 至 10:30

A3-3-301

Zoom 242 742 6089 (BIMSA)

For a Lie group G, the G-skein module of a 3-dimensional manifold M is a fundamental object in Witten’s interpretation of quantum knot invariants in the framework of a topological quantum field theory. It depends on a parameter q and, when this parameter q is a root of unity, the G-skein module contains elements with a surprising “invisibility” property, in the sense that they can be traversed by any other skein without changing the resulting total skein. I will describe some of these invisible elements in the case of the special linear group SL_n. The construction is based on the very classical theory of symmetric polynomials in n variables.