Математика17 лекций
Симплектическая геометрия и квантование
лекции
спецкурс
Механико-математический факультет
Преподаватель
Видеолекции
Материалы
О курсе
1:04:16Лекция 1. Classical systems and their quantisation
1:21:00Лекция 2. Classical systems and their quantisation II
1:30:56Лекция 3. Weyl Quantisation formula, Moyal product
1:26:55Лекция 4. Moyal product properties, Symplectic Structure
1:24:26Лекция 5. Symplectic structure/ Darboux theorem
1:34:13Лекция 6. Polyvector fields
1:32:37Лекция 7. Quantisation problem for Poisson manifolds
1:33:05Лекция 8. PBW quantisation
1:28:50Лекция 9. Hochshild cohomology
1:18:47Лекция 10. Hochshild cohomology II
1:25:53Лекция 11. HKR theorem and cohomologies
1:28:41Лекция 12. Deformation quantisation problem
1:17:30Лекция 13. Symplectic connection
1:21:07Лекция 14. Fedosov quantisation
1:29:02Лекция 15. Fedosov quantisation II
1:47:23Лекция 16. Kontsevich's quantisation
1:25:49Лекция 17. Kontsevich's quantisation II
2025 МГУ имени М.В. Ломоносова