2008 PERU
                    
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Scientific report Michèle Loday-Richaud (in French, pdf)

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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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