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 varieties of Riemann surfaces by allowing more
complicated behaviour at the boundary), their Poisson/symplectic structures
(generalising both the Atiyah-Bott approach and the quasi-Hamiltonian
approach), and the wild mapping class groups.Comment: 33 pages, 3 figure