Metrics from vortices

Location: HIM lecture hall, Poppelsdorfer Allee 45

Abelian vortices on a Riemann surface X (with metric) give rise to
smooth Kaehler metrics on the symmetric powers of X. This is because
the  N-vortex moduli space is the N-th symmetric power of X. The
relation between these new metrics and the underlying metric on X is
interesting and non-trivial, because vortices are not ideal points,
and are sensitive to the local geometry and the topology of X.