This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics. The range of topics is sufficiently loosely defined that core interests within SUPA's CMMP theme, the agent-based modelling of complex systems relevant to the NANIA project, or whatever else takes our fancy are all accommodated.
Actually, the best way to find out what we talk about is to look at the list of titles below.
If you're wanting to receive mailings about these talks, request a topic for discussion, or - even better - offer to lead the discussion yourself, please email us Juraj Szavits-Nossan, Bartek Waclaw.
Week beginning 1 December 2013
Wednesday 4 Dec 13 - 11:30am
Morse Theory and van Hove Singularities
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.
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