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

Research

Geometry & Topology Seminar

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

Speaker: Seonhwa Kim (Pohang University of Science and Technology)
Time: Sep 24, 2019, 15:00-16:00
Location: Conference Room 415, Hui Yuan 3#

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.