Integrable systems and Higgs bundles
- Date: Tuesday 27 November 2018, 16:00 – 17:00
- Location: Mathematics Level 8, MALL 1, School of Mathematics
- Type: Algebra, Seminars, Pure Mathematics
- Cost: Free
Marina Logares, University of Plymouth. Part of the algebra seminar series.
The moduli space of Higgs bundles is a rich geometric object which lies in the interface of algebraic geometry, differential geometry and mathematical physics. One of its properties is that it carries the structure of an algebraic completely integrable system known as the Hitchin system. We will talk about the Hitchin system and discuss a variation of it providing a complex partially integrable system. This talk is based on joint work with I. Biswas and A. Peón-Nieto.