Manchester Geometry Seminar 2008/2009

Thursday 11 December 2008. The Frank Adams Room (Room 1.212), the Alan Turing Building. 4pm

Cyclic Monopoles, Toda and Ramanujan

Harry Braden (University of Edinburgh)

I will describe some recent work on the construction of su(2) monopoles with cyclic symmetry via algebro-geometric methods. The symmetry leads to various relations between spectral curves and their covers and connections between integrable systems. A transcendental constraint on the curve is equivalent to a problem solved by Ramanujan.