Aspects of Einstein metrics on 4-manifolds I
Location: MSRI: Simons Auditorium
Ricci curvature lower bounds
moduli spaces of metrics
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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