Jingping Wang，University of Kent, UK

The classification of Hamiltonian operators in the formal calculus of variations relies on their corresponding Poisson-Lichnerowicz cohomology. We consider the case of scalar difference Hamiltonian operators, such as the ones which constitute the biHamiltonian pair for the Volterra chain, and prove that an analogue of Getzler’s result for (differential) operators of hydrodynamic type

This is the joint work with M. Casati.