Joseph Krasil'shchik's lectures on the geometry of infinite jets and infinitely prolonged differential equations: Difference between revisions

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''Via [http://www.mathnet.ru/php/conference.phtml?eventID=25&confid=1652 Math-Net.Ru]''
''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)]
* [https://video.gdeq.org/GDEq-lec-20190918.mp4 Lecture 1 (18 September 2019)]


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


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


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


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


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


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


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


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


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


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


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


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


==Recommended literature==
==Recommended literature==

Latest revision as of 22:56, 30 March 2025

Autumn 2019

Lectures take place at the Independent University of Moscow on Wednesday in room 308 from 17:30 to 19:10

Syllabus (in Russian): program19a.pdf

Video records of the lectures

Via Math-Net.Ru

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