GEOMETRY
TOPOLOGY SEMINAR

“Nondivergence
Harmonic Maps”

by

MUAZZEZ
ŞİMŞİR

Abstract: We describe work on
solutions of certain non-divergence type and therefore non-variational elliptic
and parabolic systems on manifolds. These systems include Hermitian
and affine harmonics which should become useful tools for studying Hermitian and affine manifolds, resp. A key point is that
in addition to the standard condition of nonpositive
image curvature that is well known and understood in the theory of ordinary
harmonic maps (which arise from a variational problem),
here we also need in addition a global topological condition to guarantee the
existence of solutions.

Date : October 25, 2010 (Monday)

Time : 13.40-14.30

Place: Bilkent University

Mathematics Seminar Room
SA-141