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Symplectic Geometry and the Physics of Motion

by

Fatima Mahmood
University of Rochester

October 7, 2013
5 pm
Bailey Hall 207

Refreshments will be served in Bailey Hall 204 at 4:45


Abstract:

This talk will be an introduction to the field of symplectic geometry, highlighting its connections with classical mechanics. We will discuss the reformulation of Newton's second law of motion in terms of the phase space of a mechanical system and the total energy of the system. Then we will show how the phase space gives rise to the more abstract notion of a symplectic vector space, on which differentiable functions generate Hamiltonian vector fields. This talk will assume some knowledge of multivariable calculus and linear algebra. All physics equations will be introduced as needed.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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