Summary
The main idea of
this project is to establish a fruitful cooperation between two
scientific communities: analysts with a broad background in Complex and
Harmonic Analysis, and Mathematical Physics, and specialists in Physics
and Applied Sciences. Harmonic and Complex Analysis is a
well-established area in mathematics. Over the past few years, this
area has not only developed in many different directions, but has also
evolved in an exciting way at several levels: the exploration of new
models in mechanics and mathematical physics and applications has at
the same time stimulated a variety of deep mathematical theories. The
proposed ESF PESC Programme is a European networking activity aimed at
promotion of scientific cooperation at the European and international
levels; scientific mobility and integration of the national activities
and groups with complementary backgrounds and expertise; and research
training of younger scientists by doctoral scholarships and
post-doctoral fellowships. Our project is a multidisciplinary programme
at the crossroads of mathematics and mathematical physics, mechanics
and applications, that proposes a set of co-ordinated actions for
advancing in Harmonic and Complex Analysis and for increasing its
application to challenging scientific problems. Particular topics which
will be considered by this Programme include Conformal and
Quasiconformal Mappings, Potential Theory, Banach Spaces of Analytic
Functions and their applications to the problems of Fluid Mechanics,
Conformal Field Theory, Hamiltonian and Lagrangian Mechanics, and
Signal Processing. This project includes scientific groups from
Austria, Finland, France, Germany, Ireland, Norway, Spain, Sweden,
Switzerland and the UK. The proposed Programme will have partnership
with other European and non-European networks, in particular following
the scheme ESF-NSF-INTAS. The Programme will have a Steering Committee
with a Secretariat based at the University of Bergen, Norway.
Activities planned for the period of this Programme include
organization and support of conferences, joint seminars and workshops,
various visiting programs and fellowships for younger researchers.
Keywords of the Proposal: complex and real analysis, potential
theory, mathematical physics, fluid mechanics, conformal and
quasiconformal mapping, Laplacian growth, Stokes flow, Riemannian and
non-Riemannian geometry, Hamiltonian systems.
Period: April 17, 2007-April 17, 2012
Original Proposal: Link
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