Harry Braden (University of Edinburgh)
17.12.2015 - W01 0-012 (Wechloy), 16 Uhr c.t.
Spectral Curves are Transcendental
Abstract: The modern approach to integrable systems typically proceeds via a curve, the parameters of the curve encoding the actions and its Jacobian (or possibly some related Prym) encoding the angles. Physically relevant families of curves are often described by fixed relations amongst differentials on the curve. We shall look at number theoretic properties of these curves. For many integrable systems the curves are transcendental.