Title:
How Quantum Theory and Statistical Mechanics Gave a Polynomial of Knots

dc.contributor.author Jones, Vaughan
dc.contributor.corporatename Georgia Institute of Technology. School of Mathematics en_US
dc.contributor.corporatename Vanderbilt University. Dept. of Mathematics en_US
dc.date.accessioned 2014-10-01T13:51:29Z
dc.date.available 2014-10-01T13:51:29Z
dc.date.issued 2014-09-25
dc.description Presented on September 25, 2014 from 3:30 pm - 4:30 pm in the Bill Moore Student Success Center, Clary Theater on the Georgia Tech campus. en_US
dc.description Sir Vaughan Frederick Randal Jones, a New Zealand mathematician, known mostly for his work on von Neumann algebras and his famous knot polynomial, is currently on the faculty of Vanderbilt University as a distinguished professor of mathematics. His work on knot polynomials, with the discovery of what is now called the Jones polynomial, was from an unexpected direction with origins in the theory of von Neumann algebras, an area of analysis already much developed by Alain Connes. It led to the solution of a number of the classical problems of knot theory, and marked the beginning of quantum topology.
dc.description Runtime: 63:27 minutes
dc.description.abstract We will see how a result in von Neumann algebras (a theory developed by von Neumann to give the mathematical framework for quantum physics) gave rise, rather serendipitously, to an elementary but very useful invariant in the theory of ordinary knots in three dimensional space. Then we'll look at some subsequent developments of the theory, and talk about a thorny problem which remains open. en_US
dc.embargo.terms null en_US
dc.format.extent 63:27 minutes
dc.identifier.uri http://hdl.handle.net/1853/52401
dc.language.iso en_US en_US
dc.publisher Georgia Institute of Technology en_US
dc.relation.ispartofseries Stelson Lecture Series en_US
dc.subject Knots en_US
dc.subject Quantum physics en_US
dc.subject von Newmann algebras en_US
dc.title How Quantum Theory and Statistical Mechanics Gave a Polynomial of Knots en_US
dc.type Moving Image
dc.type.genre Lecture
dspace.entity.type Publication
local.contributor.corporatename College of Sciences
local.contributor.corporatename School of Mathematics
local.relation.ispartofseries Thomas Stelson Lecture Series
relation.isOrgUnitOfPublication 85042be6-2d68-4e07-b384-e1f908fae48a
relation.isOrgUnitOfPublication 84e5d930-8c17-4e24-96cc-63f5ab63da69
relation.isSeriesOfPublication 0225f494-ae3a-419c-bd63-267b934eaa7c
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