course: Optimal metrics, and the differential topology of 4-manifolds

speaker: Claude LeBrun (Stony Brook University)

abstract: The L2 norm of the Riemann curvature tensor may be considered as a functional on the space of Riemannian metrics on a given smooth compact 4-manifold M. An optimal metric is by definition an absolute minimum of this functional. This series of lectures will explore the problem of determining which 4-manifolds admit such metrics. LECTURE 1: On non-Einstein optimal metrics

LECTURE 2: 4-Manifolds without optimal metrics

LECTURE 3: 4-Dimensional Einstein manifolds

timetable:
Wed 20 Oct, 10:00 - 11:15, Sala Conferenze Centro De Giorgi
Thu 21 Oct, 11:15 - 12:15, Sala Conferenze Centro De Giorgi
Fri 22 Oct, 17:00 - 18:15, Sala Conferenze Centro De Giorgi
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