Петербургский семинар по квантовой теории поля


Аудитория   311,   ПОМИ,   Фонтанка  27

четверг,   11.30


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27 июня, 2019

Robert Conte (ENS Cachan, France, and The University of Hong Kong)

"Painleve VI surfaces"


Abstract

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.