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Topology and geometry of quantum invariants

Connections for Women: Quantum Symmetries January 23, 2020 - January 24, 2020

January 23, 2020 (03:15 PM PST - 04:15 PM PST)
Speaker(s): Efstratia Kalfagianni
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Quantum Topology

  • hyperbolic geometry

  • 3-manifold topology

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

4-Kalfagianni

Abstract

The generalization of the Jones polynomial led to constructions of link and 3-manifold invariants as well as of representations of surface mapping class groups.

The talk will focus on the general question of how much of the topology and the Thurston geometric picture of low dimensional manifolds is reflected in these invariants and structures.

I will survey several open problems and conjectures in the area and report on recent progress in this direction.

Supplements
Asset no preview Notes 1.36 MB application/pdf Download
Video/Audio Files

4-Kalfagianni

H.264 Video 905_27771_8106_4-Kalfagianni.mp4
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