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

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

• Lecture 1 (18 September 2019)

• Lecture 2 (25 September 2019)

• Lecture 3 (2 October 2019)

• Lecture 4 (9 October 2019)

• Lecture 5 (16 October 2019)

• Lecture 6 (23 October 2019)

• Lecture 7 (30 October 2019)

• Lecture 8 (6 November 2019)

• Lecture 9 (20 November 2019)

• Lecture 10 (27 November 2019)

• Lecture 11 (4 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