数学科学研究所
Insitute of Mathematical Science

Seminar: Cyclic harmonic bundles on noncompact surfaces

Seminar| Institute of Mathematical Sciences

Time14:00-15:00, November 26 Thuesday

LocationRoom S408, IMS


Speaker: Qiongling Li from Nankai University

AbstractFor a given 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. Geometrically, Higgs bundles with harmonic metrics give  rise to equivariant harmonic maps from the unit disk or the complex plane to the symmetric space SL(n,R)/SO(n). We attack the problem in both the Hitchin-Kobayashi correspondence and the partial differential equation method. This is a joint work with Takuro  Mochizuki.  



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