Maths HEP Lunchtime Seminars: Monopoles, Periods and Problems
28 May 2010 13:00 in CM221
The modern approach to integrability proceeds via a Riemann surface, the spectral curve. In many applications this curve is specified by transcendental constraints in terms of
periods. I will highlight some of the problems this leads to in the context
of monopoles, problems including integer solutions to systems of quadratic forms, questions of real algebraic geometry and conjectures for elliptic functions. Several new results will be presented including
the uniqueness of the tetrahedrally symmetric monopole.