Ian Strachan
(University of Glasgow, UK)
Two constructions of the isomonodromic tau-function
Two constructions of the isomonodromic tau-function are
described. One uses F-manifold techniques to describe the
tau-function related to the Frobenius manifold structure on
the orbit spaces C^n/W, where W is a Coxeter group. The
second uses Riemann surface techniques, in particular,
properties of the prime-form, to construct the tau-function
related to the Frobenius manifold structure on Hurwitz
spaces.