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Schedule, Notes/Handouts & Videos

The Feynman Integral Along with Related Topics and Applications December 09, 2002 - December 12, 2002

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Dec 09, 2002
Monday
09:15 AM - 09:45 AM
  Morning Tea
09:45 AM - 10:00 AM
  Welcome & Introduction
Loa Nowina-Sapinski
10:00 AM - 11:00 AM
  Action and symmetries
Cecile DeWitt-Morette (University of Texas, Austin)
11:00 AM - 12:00 PM
  Feynman path integral for an inverse problem
Brian DeFacio
12:00 PM - 12:30 PM
  Path integrals, momentum representation and stochastic analysis
Jean-Claude Zambrini
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Feynman integrals and non-commutative probability theory
Sarada Rajeev
03:00 PM - 03:30 PM
  Afternoon Tea
04:10 PM - 05:10 PM
  Knot theory and functional integration
Louis Kauffman (University of Illinois at Chicago)
Dec 10, 2002
Tuesday
09:00 AM - 10:00 AM
  Results on the Feynman integral in Feynman's original setting
Gerald Johnson (University of Nebraska)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Feynman's operational calculus via Feynman path integrals and disentangling algebras
Michel Lapidus (University of California, Riverside)
11:30 AM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  A general theory of evolutions and path integrals on Banach spaces via the Feynman calculus
Tepper Gill (Howard University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:00 PM
  Operator-valued function space integrals
David Storvick
04:00 PM - 04:30 PM
  Fourier-Feynman transforms, convolution products and first variations in function spaces
David Skoug
04:30 PM - 05:00 PM
  Concert
05:00 PM - 06:00 PM
  Reception
Dec 11, 2002
Wednesday
09:00 AM - 10:00 AM
  The 2-D Yang-Mills functional integral: Physics applied to geometry
Ambar Sengupta (University of Connecticut)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Rigorous stochastic model representation for the Wilson loop observables in Chern-Simons theory
Atle Hahn
11:30 AM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Path integrals for the 1-D Dirac equation
Brian Jefferies
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Path integrals: Flexible tools
John LaChapelle
04:30 PM - 05:00 PM
  Open problems and discussion
Dec 12, 2002
Thursday
09:00 AM - 10:00 AM
  An introduction to quantum computing
Umesh Vazirani (University of California, Berkeley)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:00 AM
  Functional integration and quantum computing
Louis Kauffman (University of Illinois at Chicago)
11:15 AM - 11:45 AM
  Feynman integrals: Mathematical challenges
Samuel Lomonaco
12:00 PM - 12:30 PM
  Could quantum computing aid functional integration?
David Collins
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:00 PM
  Extraction of linear factors in Feynman's operational calculus
Byoung Soo Kim
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:00 PM
  Oscillatory (Feynman) integrals for the Schroedinger equation in a magnetic field
Zdzislaw Brzezniak
04:00 PM - 04:30 PM
  New developments of rigorous Feynman path integrals and application to a stochastic Schroedinger equation
Sonia Mazzucchi
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