Electric-Magnetic Duality and the Geometric Langland's Programme, 13-24 August 2007

Master Class, by Anton Kapustin (Caltech)

Overview poster for the Master Classes in 2007

Abstract:
The Montonen-Olive conjecture states that N=4 supersymmetric Yang-Mills theories with gauge groups G and {}^LG are isomorphic. It can be viewed as a nonabelian version of the electric-magnetic duality of the Maxwell theory. I will explain how to deduce the central statements of the geometric Langlands program from the Montonen-Olive duality. Certain generalizations of the Montonen-Olive duality and their mathematical implications will also be discussed.

Schedule

The schedule for the Master Class is as follows:
Every weekday from Monday 13 till Friday 24 August,
Aud. G1, Bldg. 1532, 1st floor
10:00-10:45 Lecture
10:45-11:15 Coffee Break
11:15-12:00 Lecture
The Master Class dinner will take place on Wednesday 22nd August.

List of Participants

• Participants

Lecture Notes

• Lecture Notes

Video Recordings

• August 14
  Lecture 1     Small size (188M)     Larger size (706M)

  Lecture 2     Small size (252M)     Larger size (949M)

• August 15
  Lecture 1     Small size (212M)     Larger size (800M)

  Lecture 2     Small size (181M)     Larger size (683M)

• August 16
  Lecture 1     Small size (209M)     Larger size (786M)

  Lecture 2     Small size (168M)     Larger size (634M)

• August 17
  Lecture 1     Small size (179M)     Larger size (671M)

  Lecture 2     Small size (222M)     Larger size (836M)

  Lecture 3     Small size (180M)     Larger size (675M)

  Lecture 4     Small size (223M)     Larger size (835M)

• August 20
  Lecture 1     Small size (214M)     Larger size (804M)

  Lecture 2     Small size (185M)     Larger size (694M)

  Lecture 3     Small size (193M)     Larger size (725M)

  Lecture 4     Small size (211M)     Larger size (795M)

• August 21
  Lecture 1     Small size (186M)     Larger size (701M)

  Lecture 2     Small size (183M)     Larger size (690M)

  Lecture 3     Small size (190M)     Larger size (721M)

  Lecture 4     Small size (219M)     Larger size (825M)

• August 22
  Lecture 1     Small size (193M)     Larger size (729M)

  Lecture 2     Small size (226M)     Larger size (849M)

• August 24
  Lecture 1     Small size (293M)     Larger size (1.1G)

Sponsors

Supplementary funding for this master class is provided by "Forskerskole i Matematik og anvendelser" based at the Department of Mathematics, University of Copenhagen.

 

Revised 20.01.2008

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