Kruglikov B. Sub-maximal symmetry and integrability, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)
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Speaker: Boris Kruglikov
Title: Sub-maximal symmetry and integrability
Abstract:
I will discuss the results on the gap problem in the symmetry dimensions of parabolic geometries (joint with D.The). Then I will tell about further progress for more general geometries (joint with V.Matveev, H.Winther, D.The), and relation to integrability in finite-type systems. I finish with speculations about the problem in the infinite-type case and infinite-dimensional Lie pseudogroups.