Manchester Geometry Seminar 2012/2013

Thursday 15 November 2012. The Frank Adams Room (Room 1.212), the Alan Turing Building. 4.15pm

On the Discrete Variational Calculus (a Gentle Introduction and Overview)

Elizabeth Mansfield (University of Kent)

I will discuss the formal finite difference variational calculus, showing the clear analogues with the smooth formal variational calculus. This presents the calculus as a chain complex (which will be described), and allows to solve questions such as, is some expression a total derivative, and if so, of what.

I will also discuss the analogues of Noether's first and second theorems. The first deals with conservation laws, the second with dependencies between the Euler-Lagrange equations.

Time permitting, I can discuss a choice of:

Most of the above is joint work with Peter Hydon (Surrey). I plan that the talk will be a gentle introduction suitable for graduate students and am happy to present or abandon topics according to taste.