Симплектическая геометрия и квантование
Математика
17 лекций
2024
лекции
спецкурс
Механико-математический факультет
Математика
спецкурс
Преподаватель
- 01:04:16Лекция 1. Classical systems and their quantisation
- 01:21:00Лекция 2. Classical systems and their quantisation II
- 01:30:56Лекция 3. Weyl Quantisation formula, Moyal product
- 01:26:55Лекция 4. Moyal product properties, Symplectic Structure
- 01:24:26Лекция 5. Symplectic structure/ Darboux theorem
- 01:34:13Лекция 6. Polyvector fields
- 01:32:37Лекция 7. Quantisation problem for Poisson manifolds
- 01:33:05Лекция 8. PBW quantisation
- 01:28:50Лекция 9. Hochshild cohomology
- 01:18:47Лекция 10. Hochshild cohomology II
- 01:25:53Лекция 11. HKR theorem and cohomologies
- 01:28:41Лекция 12. Deformation quantisation problem
- 01:17:30Лекция 13. Symplectic connection
- 01:21:07Лекция 14. Fedosov quantisation
- 01:29:02Лекция 15. Fedosov quantisation II
- 01:47:23Лекция 16. Kontsevich's quantisation
- 01:25:49Лекция 17. Kontsevich's quantisation II