# Morse Theory and van Hove Singularities

#### Morse Theory and van Hove Singularities

- Event time: 11:30am
- Event date: 4th December 2013
- Speaker: Mr Chay Paterson (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

The local behaviour of a certain class of differentiable functions obeys strong constraints due to the global topology of their domain, with several important implications for dispersion relations in solid-state physics, for which periodic boundary conditions require reciprocal space to have a nontrivial global topology. This talk should provide a physically intuitive overview of Morse Theory, the mathematics underlying the surprising connection of global topology to local behaviour, and the striking experimental predictions of van Hove singularities, a phenomenon in crystallographic optical absorption spectra.

The content will be less biophysical/soft matter than usual and more oriented towards analytic solid state theory, and also may also be interesting to particle theorists.

### About Statistical Physics and Complexity Group meetings

This is a weekly series of informal talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..

Find out more about Statistical Physics and Complexity Group meetings.