Contact geometry, Hamiltonization and applications

Dr Alessandro Bravetti (National Autonomous University of Mexico)

Thursday 4th November, 2021 14:00-15:00 Room 110/ZOOM (ID: 969 9984 7982)

Abstract

The Hamiltonization problem on a smooth manifold is the question of whether a vector field admits a Hamiltonian formulation with respect to either a symplectic (resp. Poisson) or contact (resp. Jacobi) structure. In this talk we briefly introduce some concepts and properties of contact geometry and contact Hamiltonian systems and then we use the latter to address the Hamiltonization problem for different vector fields of interest in the physics and the statistics literatures. In particular, we consider examples from mechanics, thermodynamics, optimization and sampling and for each case we highlight the advantages of the proposed approach.

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