2006 China

2006 CHINA

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CIMPA-UNESCO-ISFMA School

Differential Geometry: Theory and Applications

Objectives :
On the one hand, it is planned to give a thorough presentation of the basic notions of Differential Geometry: metric tensor, Riemann curvature tensor, fundamental forms of a surface, covariant derivatives, fundamental theorem of surface theory, etc. This field is indeed often considered as a "classical" one, but it has been recently "rejuvenated", thanks to the manifold applications where it plays an essential role. Some of these applications will be studied in the School, such as:
- Theory of linearly and nonlinearly elastic shells;
- Relativity;
- Fluid Mechanics;
- Optimization of the shape of gears;
- Mesh optimization; etc.
On the other hand, it is expected that this School will strengthen or initialize scientific cooperations with developing countries from South-East Asia: India, Vietnam, Philippines, etc.

Scientific Directors and organizers:
Philippe G. Ciarlet: Professor, City University of Hong Kong and Emeritus Professor at the University Pierre and Marie Curie, Paris, France
Li Ta-tsien: Co-Director of the Chinese-French Institute for Applied Mathematics (ISFMA) and Professor at Fudan University, Shanghai, China

Working languages:
English

Date and location :
August 7-18, 2006
Chinese-French Institute for Applied Mathematics (ISFMA), Fudan University, Shanghai, China

Scientific program:
- There will be four series of lectures, each series comprising ten 50mn-lectures (two 50mn-lectures daily)
FIRST WEEK: Two series of lectures:
#1: Philippe G. Ciarlet (City University of Hong Kong, Hong Kong): "Introduction to Differential Geometry - 1"
#2: Cristinel Mardare (Universite Pierre et Marie Curie, Paris): "Introduction to Differential Geometry - 2"
SECOND WEEK: Two series of lectures, to be chosen among the following (according to the availability of the lecturers)
#3: Doug Arnold (Institute for Mathematics and its Applications, University of Minnesota): "Numerical methods in general relativity"
#4: Pascal Frey (Universite Pierre et Marie Curie, Paris): "Applications of Riemannian geometry to mesh generation"
#5: Roland Glowinski (University of Houston): "The Monge-Ampere equation - Theory and numerical analysis"
#6: Dominique Chapelle (INRIA, Rocquencourt): "Numerical methods for shells"
- In addition to these four series of lectures, more specialized 50mn-talks will be also delivered.

Prerequisites :
A good knowledge of basic techniques in analysis, functional analysis, and partial differential equations.