Symmetries of the WDVV Equations

Richard Stedman (University of Glasgow)

Thursday 15th October, 2015 16:00-17:00 Maths 522


The WDVV equations first arose in 1990 from considerations of Physics. I will introduce the equations, give a few simple solutions to them and then focus on symmetries of the equations. This entails performing transformations that map between two different solutions. I discuss some of the known transformations and then introduce a generalisation of the Legendre transformations that first appeared in the work of Dubrovin that we have been working on.

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