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学术科研

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.