The critical locus of the Hitchin system
Date
Friday, September 15, 2017 14:00 - 16:00
Speaker
Nigel Hitchin (University of Oxford)
Location
Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Tamas Hausel
Contact
Url
The moduli space of Higgs bundles over a Riemann surface has the structure of a completely integrable Hamiltonian system now known as the Hitchin system. The critical locus consists of the points at which the Hamiltonian vector fields become linearly independent. There is a well established general concept of nondegeneracy for such points and under those conditions one obtains integrable systems of lower dimension. The talk will first focus on applying these methods to the above system and then discuss topological aspects of the moduli space which are realized by critical loci.