Aspects of Einstein metrics on 4-manifolds II
Location: MSRI: Simons Auditorium
differential geometry differential geometry
Ricci curvature lower bounds
existence and uniqueness results for PDEs
PDEs on manifolds with boundary
These lectures will discuss classical and more recent research on selected topics in the area of Einstein metrics on 4-dimensional manifolds. The basic questions concern existence and uniqueness of such metrics. Broadly speaking, the first lecture will discuss uniqueness issues; more precisely the apriori structure of the (moduli) space of Einstein metrics on a given manifold. The second lecture will turn to the more difficult existence questions (on manifolds with boundary).
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