Towards non-commutative integrability

July 7, 2010 University of Lisbon

Speaker: Maxim Kontsevich (about)
Abstract: There are many examples of classical integrable systems where one can treat coordinates on the phase space as free non-commuting variables.
I'll mostly concentrate on an example related with the classification of a pair of matrices up to conjugation.
This leads to a beautiful class of (non)commutative algebraic functions.
Also I formulate several conjectures about integrability, supported by computer experiments.

Time: 14h30
Room: Anfiteatro do Instituto para a Investigação Interdisciplinar (map)
Web streaming:
Contact: Jean-Claude Zambrini (


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