Functional integrals and applications in quantum theory and statistical mechanics February 9–December 28, 2021, online via Zoom, Moscow
The base of the theory of measures on infinitely dimensional topological vector spaces is considered.
The differential calculus for the measures on locally convex spaces is introduced. The above technique is
used to obtain the presentation of solution of initial boundary value problem for an evolutionary
equation by means of FeynmanKac formulas. The approximations for a such solution by means of
Feynman formulas are obtained. The properties of a measure to be absolutely continuous or singular
with respect to another measure are considered. In particular, the invariance or quasiinvariance of a
measure with respect to a group of transformations are studied. In addition, we consider the integration
of a function with respect to finite additive measure and we study the properties of vector valued
functions which is integrable by Pettis of by Bochner with respect to such a measure.
Fall Semester Schedule of 2021/2022:
Time: Tuesday 16:25 – 17:50
First lecture: September 7
Financial support. The course is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 0751520191614).
RSS: Forthcoming seminars
Seminar organizers
Sakbaev Vsevolod Zhanovich
Smolyanov Oleg Georgievich
Institutions
Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region Steklov Mathematical Institute of Russian Academy of Sciences, Moscow Steklov International Mathematical Center 

Functional integrals and applications in quantum theory and statistical mechanics, Moscow, February 9–December 28, 2021 


November 30, 2021 (Tue) 

1. 
Lecture 13. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev November 30, 2021 16:25, Moscow, online via Zoom






November 23, 2021 (Tue) 

2. 
Lecture 12. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev November 23, 2021 16:25, Moscow, online via Zoom






November 16, 2021 (Tue) 

3. 
Lecture 11. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev November 16, 2021 16:25, Moscow, online via Zoom






November 9, 2021 (Tue) 

4. 
Lecture 10. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev November 9, 2021 16:25, Moscow, online via Zoom






November 2, 2021 (Tue) 

5. 
Lecture 9. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev November 2, 2021 16:25, Moscow, online via Zoom






October 26, 2021 (Tue) 

6. 
Lecture 8. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev October 26, 2021 16:25, Moscow, online via Zoom






October 19, 2021 (Tue) 

7. 
Lecture 7. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev October 19, 2021 16:25, Moscow, online via Zoom






October 12, 2021 (Tue) 

8. 
Lecture 6. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev October 12, 2021 16:25, Moscow, online via Zoom






October 5, 2021 (Tue) 

9. 
Lecture 5. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev October 5, 2021 16:25, Moscow, online via Zoom






September 28, 2021 (Tue) 

10. 
Lecture 4. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev September 28, 2021 16:25, Moscow, online via Zoom






September 21, 2021 (Tue) 

11. 
Lecture 3. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev September 21, 2021 16:25, Moscow, online via Zoom






September 14, 2021 (Tue) 

12. 
Lecture 2. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev September 14, 2021 16:25, Moscow, online via Zoom






September 7, 2021 (Tue) 

13. 
Lecture 1. Functional integrals and applications in quantum theory and statistical mechanics II O. G. Smolyanov, V. Zh. Sakbaev September 7, 2021 16:25, Moscow, online via Zoom






May 25, 2021 (Tue) 

14. 
Lecture 14. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev May 25, 2021 16:35, Moscow, online via Zoom






May 18, 2021 (Tue) 

15. 
Lecture 13. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev May 18, 2021 16:35, Moscow, online via Zoom






May 11, 2021 (Tue) 

16. 
Lecture 12. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev May 11, 2021 16:35, Moscow, online via Zoom






April 27, 2021 (Tue) 

17. 
Lecture 11. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev April 27, 2021 16:35, Moscow, online via Zoom






April 20, 2021 (Tue) 

18. 
Lecture 10. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev April 20, 2021 16:35, Moscow, online via Zoom






April 13, 2021 (Tue) 

19. 
Lecture 9. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev April 13, 2021 16:35, Moscow, online via Zoom






April 6, 2021 (Tue) 

20. 
Lecture 8. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev April 6, 2021 16:35, Moscow, online via Zoom






March 30, 2021 (Tue) 

21. 
Lecture 7. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev March 30, 2021 16:35, Moscow, online via Zoom






March 23, 2021 (Tue) 

22. 
Lecture 6. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev March 23, 2021 16:35, Moscow, online via Zoom






March 16, 2021 (Tue) 

23. 
Lecture 5. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev March 16, 2021 16:35, Moscow, online via Zoom






March 9, 2021 (Tue) 

24. 
Lecture 4. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev March 9, 2021 16:35, Moscow, online via Zoom






March 2, 2021 (Tue) 

25. 
Lecture 3. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev March 2, 2021 16:35, Moscow, online via Zoom






February 16, 2021 (Tue) 

26. 
Lecture 2. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev February 16, 2021 16:35, Moscow, online via Zoom






February 9, 2021 (Tue) 

27. 
Lecture 1. Functional integrals and applications in quantum theory and statistical mechanics O. G. Smolyanov, V. Zh. Sakbaev February 9, 2021 16:35, Moscow, online via Zoom





