[en] We find new estimates and a new asymptotic decoupling phenomenon for
solutions to Hitchin's self-duality equations at high energy. These generalize
previous results for generically regular semisimple Higgs bundles to arbitrary
Higgs bundles. We apply our estimates to the Hitchin WKB problem and to high
energy harmonic maps to symmetric spaces and buildings.
Disciplines :
Mathematics
Author, co-author :
SAGMAN, Nathaniel ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
Smillie, Peter
Language :
English
Title :
Local asymptotics for Hitchin's equations and high energy harmonic maps
