May 19 – 27, 2025
Institut Henri Poincaré
Europe/Paris timezone

Some estimates for harmonic metrics of $G$-Higgs bundles

May 22, 2025, 10:00 AM
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Speaker

Takuro Mochizuki (Kyoto University)

Description

There are some useful estimates for harmonic metrics of cyclic Higgs bundles and symmetric Higgs bundles. In this talk, we shall discuss generalizations of the estimates to the context of $G$-Higgs bundles. As applications, we shall also discuss the existence and the classification of some types of harmonic $G$-Higgs bundles. This talk is partially based on joint works with Qiongling Li and Szilard Szabo.

Presentation materials

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