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The field of geometric variational problems is fast-moving and
influential. These problems interact with many other areas of
mathematics and have strong relevance to the study of integrable
systems, mathematical physics and PDEs. The workshop 'Variational
Problems in Differential Geometry' held in 2009 at the University
of Leeds brought together internationally respected researchers
from many different areas of the field. Topics discussed included
recent developments in harmonic maps and morphisms, minimal and CMC
surfaces, extremal Kahler metrics, the Yamabe functional,
Hamiltonian variational problems and topics related to gauge theory
and to the Ricci flow. These articles reflect the whole spectrum of
the subject and cover not only current results, but also the varied
methods and techniques used in attacking variational problems. With
a mix of original and expository papers, this volume forms a
valuable reference for more experienced researchers and an ideal
introduction for graduate students and postdoctoral researchers.
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