A Categorification of Super Hopf Algebra U_t sl (1|1) via Contact Topology
主讲人: Yin Tian (Tsinghua University)
活动时间: 从 2016-11-17 15:15 到 17:15
场地: Room 9, Quan Zhai, BICMR
Abstract: Representation theory of quantum groups has profound applications to low-dimensional topology in the framework of Reshetikhin-Turaev invariants. The Alexander polynomial of knots can be recovered from the representation theory of super quantum sl (1|1); moreover, the knot Floer homology gives rise to a categorification of the Alexander polynomial. In this talk, we will construct triangulated categories motivated by contact topology to categorify U_t sl (1|1) as a variant of U_q sl(1|1) and its tensor product representations.