Geometry & Topology Seminar

Reducible PSL (2,C) representations and octahedral decompositions of knot complement

  • 演讲者:Seonhwa Kim(浦项工科大学)

  • 时间:2019-09-24 15:00-16:00

  • 地点:慧园3栋 415报告厅

Abstract 

Octahedral decomposition is a way to triangulate a knot complement, which was originally inspired by  Kashaev volume conjecture. This octahedral decomposition leads us another understanding about PSL(2,C)-representations of a knot complement. In this talk, we discuss reducible representations and its equivariant pseudo-developing onto $\mathbb{H}^3$ through octahedral decomposition. From the approach, a new method computing Alexander polynomial will be introduced.