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CIMPA-UNESCO-PERU
School
Resurgence, analytic difference-or-differential equations and foliations
Objectives :
-
a systematic and gradual presentation of tools which were recently
developed, particularly in France, to solve problems related to the
divergence of series and known under the general name of resurgence
theory as well as an introduction to the theory of summability,
particularly suited to the linear case.
-
a wide range of applications to complex differential equations,
linear or non-linear, ordinary or partial differential, to difference
equations, to dynamical systems and foliations.
The course should provide the participants with new, useful and immediately
applicable tools in various fields of interest. It aims at giving new
impulse to research and to open directions in domains where such tools have
already shown to be efficient.
Scientific committee:
Alcides LINS NETO, Researcher at IMPA, Rio de Janeiro, Brazil
Michèle LODAY-RICHAUD, Professor at Université d’Angers, France
Bruno SCARDUA, Professor at U.F.R.J., Rio de Janeiro, Brazil
Organizing committee:
Michèle
LODAY-RICHAUD (Université d’Angers, France)
Roger METZGER (IMCA, Peru)
Claude MITSCHI (Université de Strasbourg I, France)
Bruno SCARDUA (UFRJ,
Brazil)
Márcio
SOARES (UFMG,
Brazil).
Working languages:
Mainly English, but also French and Spanish
Date and location:
July 14-25, 2008,
IMCA, Lima, Peru
Scientific program and lecturers:
-
Divergent series, summability and introduction to resurgence (the linear
case)
(9h. ---
M. LODAY-RICHAUD, Université d’Angers, France)
Curso (in
French)
-
Resurgent functions illustrated with difference equations
(9h.
--- D. SAUZIN, IMCCE Observatoire de Paris, France)
Curso
-
Singularities from a geometrical point of view
(9h. ---
F. LORAY, Université Rennes 1, France)
-
The Riemann-Hilbert problem
in classical and in extended form .
(6h. --- C. MITSCHI, Université Strasbourg I,
France)
-
Applications of resurgence to problems of analytic classification
(9h. --- D. SAUZIN, IMCCE Observatoire de Paris,
France)
-
Resurgent methods and multi-scale analysis applied to the Painlevé I
equation
(9h. --- E. DELABAERE, Université d’Angers,
France)
Program complemented with informal discussions
Prerequisites:
Basic complex analysis (undergraduate level).
Recommended: some notions in asymptotic analysis
Local website:
http://www.imca.edu.pe/cimpa08/index.htm
Deadline for registration :
April
15, 2008
Application procedure
and
Online registration
only for applicants not from Peru
Applicants from Peru must contact the local organizer
Professor
Roger METZGER
metzger@imca.edu.pe

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