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Cyclic harmonic bundles on noncompact surfaces

Holomorphic Differentials in Mathematics and Physics November 18, 2019 - November 22, 2019

November 19, 2019 (04:00 PM PST - 05:00 PM PST)
Speaker(s): Qiongling Li (Chern Institute of Mathematics)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • cyclic Higgs bundles

  • harmonic metric

Primary Mathematics Subject Classification
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Abstract

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.

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