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