Algebraic Geometry Seminar

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Rigid currents on hyperkahler manifolds.

Speaker: Misha Verbitsky

Location: Warren Weaver Hall 317

Date: Friday, January 25, 2019, 3:30 p.m.

Synopsis:

A positive current is a positive (p,p)-form with
coefficients in measures. It is not hard to show that
any cohomology class on the boundary of a Kahler cone
can be represented by a closed, positive current.
This class is called rigid if its representative
current is unique. Any Kahler class on the
boundary of the Kahler cone of a hyperkahler
manifold is rigid, if it is irrational and
has zero volume. I would explain how this
result is proven, using ergodic theory. This
is a joint work with Nessim Sibony.