Harmonic and Complex Analysis and its Applications (HCAA)


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 PEN (formerly PESC) Programme is a European networking activity aimed at the 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 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

Programme Proposal

More information can be found on the HCAA website

You can also consult the HCAA brochure


5 years
April 2007 - April 2012