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Applications of PDE methods by Gromov, Floer, and others to symplectic geometry. A lecture presented at the 92nd summer meeting of the American Mathematical Society, Boulder, CO, August 7–10, 1989. Videotape. (English) Zbl 0925.58025

AMS Progress in Mathematics, Lecture Series. Providence, RI: American Mathematical Society (AMS). 1 video (NTSC; 60 min.; VHS) (1990).
Publisher’s description: The past few years have seen several exciting developments in the field of symplectic geometry, and researchers in this area have begun to make progress in solving many important and hitherto inaccessible problems. The new techniques making this possible have come both from the calculus of variations and from the theory of elliptic partial differential operators. McDuff examines some of these new developments, including Gromov’s results using elliptic methods, and how Floer applied these elliptic techniques to develop a new approach to Morse theory. In addition to researchers interested in this area, graduate students or advanced undergraduates find this lecture accessible.

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
35-XX Partial differential equations
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