Jeff Viaclovsky (Fall 2017):
This course will cover various advanced topics in Differential Geometry. Topics will be selected from the following.
(1) Asymptotic expansions of metric, volume, etc.
(2) Curvature decomposition and representation theory.
(3) Complex manifolds and Kaehler metrics.
(4) Hodge Theory and Fredholm Theory on compact Riemannian manifolds.
(5) Analysis on noncompact Riemannian manifolds.