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Harry Braden
School of Mathematics, University of Edinburgh
Monopoles, periods and problems
Wednesday 28th April 14:05-14:55pm,
New Law School Seminar 030 (Building F10).
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.
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