Quantum Field Theory program at IAS: Fall Term

Announcements

• MacPherson's letter of Dec. 15, 1995, describing this program
• Another letter proposing the formation of a "study group" (August, 1996)
• Background reading suggested by Joseph Bernstein (August, 1996)
• Tentative agenda for Bernstein's lectures (September, 1996)
• Tentative agenda for Kazhdan's lectures (September, 1996)
• Outline and references, from Gawedzki (10/3/96)

Fall term lecture notes

• David Kazhdan, Quantum Field Theory (notes by Roman Bezrukavnikov)
  • Lecture 1 [source, DVI, postscript]
  • Lecture 2 [source, DVI, postscript]
  • Lecture 3 [source, DVI, postscript]
  • Lecture 4 [source, DVI, postscript]
  • Lecture 5 [source, DVI, postscript]
• Joseph Bernstein, Lectures on Supersymmetry (notes by Dennis Gaitsgory)
  • Lecture 1 [source, DVI, postscript]
  • Lecture 2 [source, DVI, postscript]
  • Subsequent Lectures, notes unavailable
  • Appendix 1 to Bernstein's Lectures, by P. Deligne [source, DVI, postscript]
  • Appendix 2 to Bernstein's Lectures, by P. Deligne [source, DVI, postscript]
  • Appendix 3 to Bernstein's Lectures, by P. Deligne [source, DVI, postscript]
  • Appendix 4 to Bernstein's Lectures, by P. Deligne [source, DVI, postscript]
• Pierre Deligne,
  • Remedial Lecture on Spinors [source, DVI, postscript]
  • Quantization [source, DVI, postscript]
• Krzysztof Gawedzki, Lectures on Conformal Field Theory -- revised 5/5/98
  • Lectures 1, 2, 3 & 4 [source, DVI, postscript]
• Ludwig Faddeev, Quantum Field Theory (notes by Lisa Jeffrey) -- minor revisions made 4/24/97
  • Lecture 1 [source, DVI, postscript]
  • Lecture 2 [source, DVI, postscript]
  • Lecture 3 [source, DVI, postscript]
  • Lecture 4 [source, DVI, postscript]
  • Lecture 5 [source, DVI, postscript]
  • Lecture 6, notes unavailable
• Edward Witten,
  • Perturbative Renormalization (notes by Pavel Etingof and David Kazhdan)
    • Lecture 1 [source, DVI, postscript]
    • Lecture 2 [source, DVI, postscript]
    • Lecture 3 [source, DVI, postscript]
    • Appendix to Lecture 4 [source, DVI, postscript]
  • Scattering Theory (notes by Radu Constantinescu)
    • Lecture 4 [source, DVI, postscript]
  • The Dirac Index on Manifolds and Loop Spaces (notes by John Morgan)
    • Part I (Lecture 5) [source, DVI, postscript]
    • Part II (Lecture 6) [source, DVI, postscript]
• David Gross, Renormalization Groups (notes by Pavel Etingof and David Kazhdan)
  • Lecture 1 [source, DVI, postscript]
  • Lecture 2 [source, DVI, postscript]
  • Lecture 3 [source, DVI, postscript]
  • Lecture 4 [source, DVI, postscript]
  • Lecture 5 [source, DVI, postscript]
• Pavel Etingof, Notes on Dimensional Regularization [source, DVI, postscript]

Fall term problem sets (and solutions)

• Problem Set #1, from Edward Witten, to be discussed 10/7/96 [source, DVI, postscript]
  • Remark on the problem set, from Witten
  • Solution to problem 1, by D. Freed [source, DVI, postscript]
  • NEWLY REVISED solution to problem 2, by P. Deligne and D. Freed [source, DVI, postscript]
• Problem Set #2, from Edward Witten, to be discussed 10/16/96 [source, DVI, postscript]
  • Message from Witten about problem set 2
  • Solution to problem 1, by P. Deligne [source, DVI, postscript]
  • Solution to problem 4, by P. Deligne [source, DVI, postscript]
• Problem Set #3, from Edward Witten, to be discussed 10/23/96 [source, DVI, postscript]
  • Solution to problem 1, by P. Deligne and D. Freed [source, DVI, postscript]
• Problem Set #4, from Edward Witten, to be discussed 10/30/96 [source, DVI, postscript]
  • Solution to problem 2, by D. Freed [source, DVI, postscript]
• Conformal Field Theory Problem Set #1 (corrected version), from Krzysztof Gawedzki, to be discussed 10/31/96 [source, DVI, postscript]
• Problem Set #5, from Edward Witten, to be discussed 11/6/96 [source, DVI, postscript]
  • Solution to problem 2, by D. Freed [source, DVI, postscript]
• Problem Set #6, from Edward Witten, to be discussed 11/21/96 [source, DVI, postscript]
  • Solution to problem 1, by D. Freed [source, DVI, postscript]
  • Solution to problem 2, by D. Freed [source, DVI, postscript]
• Problem Set #7, from Edward Witten, to be discussed 12/11/96 [source, DVI, postscript]
  • Solution to problem 1, by D. Freed [source, DVI, postscript]

Fall term exam (and solutions)

• Fall term exam [source, DVI, postscript]
• Solutions
  • Problem 1, solution by L. Jeffrey and S. Wu [source, DVI, postscript]
  • Problem 2, solution by D. Freed [source, DVI, postscript]
  • Problem 3, solution by D. Freed [source, DVI, postscript]
  • Problem 4, solution not provided
  • Problem 5, solution by D. Freed [source, DVI, postscript]
  • Problem 6, solution by D. Freed [source, DVI, postscript]