Colloquium (March 22, 2002)
3:00 p.m.
Math Annex 1100
Ivar Ekeland
Universite ParisDauphine
Systems of Nonlinear PDEs arising in economic theory
Testing the foundations of microeconomic theory leads us into a
mathematical analysis of systems of nonlinear PDEs. Some of these
can be solved in a C^\infty framework by using the classical Darboux
theorem and its recent extensions, others require analysticity and
more refined tools, such as the CartanKahler theorem. Care will be
taken to explain the economic framework and the tools of differential
geometry.
Refreshments will be served in Math Annex Room 1115, 2:45 p.m.
