Curvature of random metrics

Curvature of random metrics

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Dmitry Jakobson, McGill University
Fine Hall 314

We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry. Next, analogous questions are considered for the scalar curvature in dimension $n>2$, and for the $Q$-curvature of random Riemannian metrics. This is joint work with I. Wigman and Y. Canzani