course: Volume growth and moduli spaces of critical Riemannian metrics in dimension four

speaker: Jeff Viaclovsky (University of Wisconsin, Madison)

abstract: We obtain a compactness result for various classes of Riemannian metrics in dimension four; in particular our method applies to anti-self-dual metrics, Kaehler metrics with constant scalar curvature, and metrics with harmonic curvature. With certain geometric assumptions, the moduli space can be compactified by adding metrics with orbifold singularities. Similar results were obtained previously for Einstein metrics, but our analysis differs substantially from the Einstein case in that we do not assume any pointwise Ricci curvature bound.

timetable:
Mon 11 Oct, 17:00 - 18:15, Sala Conferenze Centro De Giorgi
Wed 13 Oct, 11:15 - 12:15, Sala Conferenze Centro De Giorgi
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