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Mondello: The Yamabe problem on stratified spaces

Mondello:
The Yamabe problem on compact smooth manifolds has been one of the
starting point of geometric analysis. It consists in showing, with
both geometric and analytic tools, that there always exists a
Riemmanian metric with constant scalar curvature in the conformal
class of a given metric (N. Trudinger, T. Aubin, R. Schoen). When
considering a manifold with singularities, it is not always possible
to find such a metric. In this talk, we will focus on manifolds with
conical singularities, isolated or not, and we will underline the
issues arising when trying to solve the Yamabe problem. We will
present some results of existence and non-existence of conformal
metrics with constant scalar curvature in the singular setting. Part
of the talk is based on a joint work with K. Akutagawa.
http://cvgmt.sns.it/seminar/668/
When
Wed Dec 5, 2018 4pm – 5pm Coordinated Universal Time
Where
Sala Seminari (Dipartimento di Matematica di Pisa) (map)