Cyclic harmonic bundles on noncompact surfaces
Location: MSRI: Simons Auditorium
cyclic Higgs bundles
For a cyclic Higgs bundle over a noncompact Riemann surface, we study the space of Toda-like harmonic metrics depending on the asymptotic behavior of the deteminant of the Higgs field. We will attach the problem in both the Hitchin-Kobayashi method and the partial differential equation method. This is a joint work with Takuro Mochizuki.