117 citations · 600 across the 27 of their papers we have counts for
6 papers · 1 filter
Poisson varieties from Riemann surfaces
Philip Boalch
Short survey based on talk at the Poisson 2012 conference. The main aim is to describe and give some examples of wild character varieties (naturally generalising the character vari…
Global Weyl groups and a new theory of multiplicative quiver varieties
Philip Boalch
In previous work a relation between a large class of Kac-Moody algebras and meromorphic connections on global curves was established---notably the Weyl group gives isomorphisms bet…
Through the analytic halo: Fission via irregular singularities
Philip Boalch
This article is concerned with moduli spaces of connections on bundles on Riemann surfaces, where the structure group of the bundle may vary in different regions of the surface. He…
Geometry of moduli spaces of meromorphic connections on curves, Stokes data, wild nonabelian Hodge theory, hyperkahler manifolds, isomonodromic deformations, Painleve equations, and relations to Lie theory
Philip Boalch
Summary of main work 1999-2012
Painleve Equations and Complex Reflections
Philip Boalch
We will explain how some new algebraic solutions of the sixth Painleve equation arise from complex reflection groups, thereby extending some results of Hitchin and Dubrovin-Mazzocc…
Symmetric cubic surfaces and G_2 character varieties
Philip Boalch, Robert Paluba
We will consider a two dimensional "symmetric" subfamily of the four dimensional family of Fricke cubic surfaces. The main result is that such symmetric cubic surfaces arise as cha…