

MinicoursesNguyenThi Dang  Dynamics of the Weyl chamber flow (over a higher rank locally symmetric space)
Qiongling Li  Higgs bundle and minimal surfaces in noncompact symmetric space A Higgs bundle over a Riemann surface X equipped with a harmonic metric is called a harmonic bundle. Conformal harmonic bundles over a Riemann surface X correspond to equivariant minimal branched immersion from the universal cover of X to the symmetric space associated to GL(n,C). Our plan of the minicourse is as follows: Part I explains the explicit correspondence between conformal harmonic bundles with minimal surfaces in the symmetric space associated to GL(n,C). Part II provides various interesting examples of minimal surfaces in the product of symmetric space of noncompact type and the Euclidean space in terms of harmonic bundles. Part III discusses further developments on the topics like Labourie conjecture, Morse index, total curvature and so on.
James Farre  Convex pleated surfaces A quasiFuchsian surface group is a discrete, convex cocompact surface subgroup of PSL(2,C), which acts isometrically on hyperbolic 3space. The boundary of the convex core of a quasiFuschian surface group has the intrinsic structure of a hyperbolic surface. This hyperbolic surface is bent along a family of geodesic lines that form a geodesic lamination, and the bending angle defines a transverse measure on this lamination. These convex surfaces, embedded in a complete hyperbolic 3manifold, are examples of Thurston’s pleated surfaces. Assuming a bit of familiarity with basic hyperbolic geometry, will give a crash course on (measured) geodesic laminations on closed hyperbolic surfaces and then build quasiFuchsian surface groups by bending a totally geodesic plane in hyperbolic space along a lamination in a group equivariant way. If time permits, we will also explain how to bend convex projective structures on closed surfaces along a geodesic lamination in 3dimensional real projective space to obtain certain convex cocompact surface subgroups of SL(4,R).
Bram Petri  Probabilistic methods in hyperbolic geometry 
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