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An Overview of Knots and Gauge Theory

Speaker: Edward Witten

Date: Tue, Nov 16, 2021

Location: PIMS, University of Saskachewan, quanTA, Zoom, Online

Conference: Peter Scherk Lecture in Geometry

Subject: Mathematics, Topology, Physics, Particle Physics and Quantum Field Theory

Class: Scientific

CRG: Quantum Topology and its Applications

Abstract:

The Jones polynomial of a knot, discovered in 1983, is a very
subtle invariant that is related to a great deal of mathematics and
physics. This talk will be an overview of quantum field theories in
dimensions 2, 3, 4 and 5 that are intimately related to the Jones
polynomial of a knot and a more contemporary refinement of it that is known
as Khovanov homology.