View source for Bobrova I., Sokolov V. Matrix Painlevé equations (abstract)

{{MeetingTalk2
| speaker1 = Irina Bobrova
| speaker2 = Vladimir Sokolov
| title = Matrix Painlevé equations
| abstract = The interest in the non-commutative extensions of various integrable systems was motivated by needs of modern quantum psychics as well as by a natural attempts of mathematicians to extend various "classical" structures to non-commutative case.

The Painlevé equations satisfy the Painlevé-Kovalevskaya test and possess isomonodromic Lax pairs. We generalize the test to find matrix Painlevé equations and propose a non-abelinization procedure of known Lax pairs for searching Lax representations for these matrix systems.

The talk is based on the following recent papers: {{arXiv|2012.05639}} (V.  Adler, V. Sokolov) and {{arXiv|2107.11680}}, {{arXiv|2110.12159}} (I. Bobrova, V.  Sokolov).
| video = https://video.gdeq.org/AMV-conf-20211215-Irina_Bobrova.mp4
| slides = [[Media:BobrovaAMVconf2021slides.pdf|BobrovaAMVconf2021slides.pdf]]
| references = 
| event =  [[Diffieties, Cohomological Physics, and Other Animals]], 13-17 December 2021, Moscow.<br>''Alexandre Vinogradov Memorial Conference.''
| 79YY-MM-DD = 7978-87-84
}}