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Seminars

Seminar
FIELD Mathematics
DATE October 25 (Thu), 2018
TIME 14:00-15:00
PLACE 8309
SPEAKER Qiongling Li
HOST Park, Jinsung
INSTITUTE Chern Institute of Mathematics
TITLE Dominations in moduli space of Higgs bundles
ABSTRACT In this talk, we mainly show some progress towards two "domination" conjectures made on the moduli space of Higgs bundles relating the Hitchin fibration and Hitchin section. Firstly, we show for a Hitchin representation in PSL(n,R), every equivariant minimal immersion from a hyperbolic plane into the corresponding symmetric space is distance-increasing. Secondly, consider Hitchin fibers at (q2,0,...,0), that is, the fibers containing Fuchsian locus. We show a comparison theorem on the length spectrum between surface group representations in such fibers with Fuchsian ones, as a generalization of the SL(2,C) case shown by Deroin and Tholozan.
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