We show that the image of the monodromy representation of the Hitchin connection on the sheaf of generalized SL(2)-theta functions over a family of complex smooth projective curves of genus g > 2 contains an element of infinite order (as in the case of Topological Quantum Field Theory as proved by Funar and Masbaum).
We classify the nilpotent orbits in a simple Lie algebra for which the restriction of the adjoint quotient map to a Slodowy slice is the universal Poisson deformation of its central fibre. This generalises work of Brieskorn and Slodowy on subregular orbits. In particular, we find in this way new singular symplectic hypersurfaces of dimension 4 and 6.
We describe an explicit symplectic resolution for the quotient singularity arising from the four-dimensional symplectic representation of the binary tetrahedral group.
