Talks

Painleve III, old and new

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Martin Guest

2015-05-10
15:40:00 - 16:40:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)



We shall review the well known isomonodromic approach to the radial sinh-Gordon equation (which is essentially equivalent to Painleve III), from a Lie-theoretic viewpoint. We believe this viewpoint gives new insights into the structure of the solutions. Then we discuss briefly some relations with the tt* equation and the Hitchin equation which are of current interest.