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19/07/2001, 17:00 — 18:00 — Amphitheatre Ga1, Central Building, IST
François Lalonde, Université de Montréal

Geometry and dynamics: towards a L∞ -theory

Techniques of elliptic PDE's in the context of gauge theory as well as in symplectic topology have led to solutions of deep problems on the existence and behavior of periodic orbits of arbitrary Hamiltonian systems. They have also led to a much better knowledge of smooth and symplectic structures on manifolds, especially in dimension 4. Using Quantum homology and its relation with Floer homology, I will describe how this is now paving the way to the emergence of a new L∞ -theory that has both geometric and dynamic interpretations.

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The Mathematics Colloquium is a series of monthly talks organized by the Department of Mathematics of IST, aiming to be a forum for the presentation of mathematical ideas or ideas about Mathematics. The Colloquium welcomes the participation of faculty, researchers and undergraduate or graduate students, of IST or other institutions, and is seen as an opportunity of bringing together and fostering the building up of ideas in an informal atmosphere.

Organizers: Conceição Amado, Lina Oliveira e Maria João Borges.