27 июня, 2019
Robert Conte (ENS Cachan, France, and The University of Hong Kong)
"Painleve VI surfaces"
We build analytic surfaces in represented by the most general sixth
Painleve equation in two steps.
Firstly, the moving frame of the surfaces built by Bonnet in 1867 is
extrapolated to a new,
second order, isomonodromic matrix Lax pair of ,
whose elements depend rationally on the dependent variable and
quadratically on the monodromy exponents .
Secondly, by converting back this Lax pair to a moving frame,
we obtain an extrapolation of Bonnet surfaces to surfaces with two more
degrees of freedom.