|Introduction to Higher Teichmueller Theory|
|Time：||Tue/Wed 15:10-17:00, 2016-03-15~ 2016-04-06|
|Instructor：||Qiongling Li [Aarhus University & Caltech]|
|Place：||Conference Room 3, Floor 2, Jin Chun Yuan West Building|
The G-character variety of surface group is the collection of representations of surface group in G up to conjugation. Higher Teichmueller theory is the study of such surface group representations for general G and related dynamics. When G is real split, Hitchin introduced a natural component in the G-character varitety in terms of Higgs bundles which has been known as the Hitchin component
W. Goldman, Convex Real Projective Structures on Compact Surfaces, J. Differential Geometry 31 (1990), pp. 791 − 845.
N.J.Hitchin, Lie groups and Teichmueller space, Topology 31 (1992), no. 3, 449–473.