View source for Joseph Krasil'shchik's lectures on the geometry of infinite jets and infinitely prolonged differential equations

'''Autumn 2019'''

Lectures take place at [https://mccme.ru/en/nmu/ the Independent University of Moscow] on Wednesday in room 308 from 17:30 to 19:10

Syllabus (in Russian): [[Media:program19a.pdf|program19a.pdf]]

==Video records of the lectures==

''Via [http://www.mathnet.ru/php/conference.phtml?eventID=25&confid=1652 Math-Net.Ru]''

* [http://video.gdeq.net/GDEq-lec-20190918.mp4 Lecture 1 (18 September 2019)]

* [http://video.gdeq.net/GDEq-lec-20190925.mp4 Lecture 2 (25 September 2019)]

* [http://video.gdeq.net/GDEq-lec-20191002.mp4 Lecture 3 (2 October 2019)]

* [http://video.gdeq.net/GDEq-lec-20191009.mp4 Lecture 4 (9 October 2019)]

* [http://video.gdeq.net/GDEq-lec-20191016.mp4 Lecture 5 (16 October 2019)]

* [http://video.gdeq.net/GDEq-lec-20191023.mp4 Lecture 6 (23 October 2019)]

* [http://video.gdeq.net/GDEq-lec-20191030.mp4 Lecture 7 (30 October 2019)]

* [http://video.gdeq.net/GDEq-lec-20191106.mp4 Lecture 8 (6 November 2019)]

* [http://video.gdeq.net/GDEq-lec-20191120.mp4 Lecture 9 (20 November 2019)]

* [http://video.gdeq.net/GDEq-lec-20191127.mp4 Lecture 10 (27 November 2019)]

* [http://video.gdeq.net/GDEq-lec-20191204.mp4 Lecture 11 (4 December 2019)]

* [http://video.gdeq.net/GDEq-lec-20191211.mp4 Lecture 12 (11 December 2019)]

* [http://video.gdeq.net/GDEq-lec-20191218.mp4 Lecture 13 (18 December 2019)]

==Recommended literature==

* Виноградов А.М., Красильщик И.С. (Ред.)  ''Симметрии и законы сохранения уравнений математической физики'', Факториал, Изд. 2, 2005.
*  J. Krasil'shchik, A. Verbovetsky, and R. Vitolo, ''[[The symbolic computation of integrability structures for partial differential equations]]'', Springer, 2017.
* Joseph Krasil'shchik and Alexander Verbovetsky, ''Geometry of jet spaces and integrable systems'', J. Geom. Phys. '''61''' (2011), 1633-1674, {{arXiv|1002.0077}}

[[Category:Lectures|Krasil'shchik 7980a]]