Particle Physics and Quantum Field Theory

Gauge Theory and Khovanov Homology

Speaker: 
Edward Witten
Date: 
Fri, Feb 17, 2012
Location: 
PIMS, University of Washington
Abstract: 
After reviewing ordinary finite-dimensional Morse theory, I will explain how Morse generalized Morse theory to loop spaces, and how Floer generalized it to gauge theory on a three-manifold. Then I will describe an analog of Floer cohomology with the gauge group taken to be a complex Lie group (rather than a compact group as assumed by Floer), and how this is expected to be related to the Jones polynomial of knots and Khovanov homology.

A Functional Integral Representation for Many Boson Systems

Speaker: 
Joel Feldman
Date: 
Fri, Oct 5, 2007
Location: 
University of British Columbia, Vancouver, Canada
Conference: 
CRM-Fields-PIMS Prize Lecture
Abstract: 
This is the 2007 CRM-Fields-PIMS prize lecture by Joel Feldman, with citation by David Brydges.

String Theory Compactification with/without Torsion

Author: 
Piljin Yi
Date: 
Thu, Jun 1, 2006
Location: 
University of British Columbia, Vancouver, Canada
Conference: 
Summer School on Strings, Gravity, and Cosmology
Abstract: 
Topics: • Geometry and Holomony • Supersymmetry, Spinors, and Calabi-Yau • Flux and Backreaction • Energetics of Heterotic Flux Compactification • Strominger System and Heterotic Flux as a Torsion • A Supersymmetric Solution to Heterotic Flux Compactification • Global Issues: Index Counting, Smoothness, etc
Notes: 
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