The Maslov index is a fundamental topological invariant that plays a critical role in the study of Hamiltonian systems. Originating from the realms of symplectic geometry and semi-classical analysis, ...

Integrable systems and Hamiltonian dynamics occupy a central role in modern theoretical physics and mathematics. At their heart, these systems are characterised by the existence of a sufficient number ...

In this paper we present rotational symplectic geometry for use in modern biomechanics of human motion. Generalized Hamiltonian formalism has been formulated on the configuration manifold consisting ...

Russian-American mathematician and Wolf Prize laureate Yakov Eliashberg delivered a public talk at IIT Madras on Thursday, as part of the inaugural annual TNQ Distinguished Lecture in Mathematics. The ...