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Deformation Quantization in R^n

Bachelor and Master Seminar Wintersemester 2016/17


[ Program | References | Dates | Links ]

Program

This seminar contains some basics of deformation quantization. They can be treated at different levels, depending on the background of the student. You can find the basic ideas and the story of deformation quantization here and in the lecture notes An Introduction to Deformation Quantization.

Topics:

  1. The Groenewold-van-Hove Theorem
  2. Standard and Weyl ordering
  3. Wick and anti-Wick ordering
  4. Integral forms for star products
  5. Asymptotic expansion and convergence of star products
  6. GNS construction
  7. Hochschild complex in R^n
  8. Hochschild-Kostant-Rosenberg Theorem
  9. Kontsevich formula

References

The suggested reference is:

  1. Waldmann, S.: Poisson-Geometrie und Deformationsquantisierung. in Springer-Lehrbuch Masterclass Springer-Verlag, 2007.

Dates

The first meeting will take place on Monday 10th October at 14:00 in my office (31.00.002).

Links


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