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New geometric and functional analytic ideas arising from problems in symplectic geometry

Speaker: Helmut Hofer

Date: Mon, Oct 23, 2006 to Tue, Oct 24, 2006

Location: PIMS, University of British Columbia

Conference: PIMS 10th Anniversary Lectures

Subject: Mathematics, Differential Geometry and Geometric Analysis, Functional Analysis

Class: Scientific

Abstract:

The study of moduli spaces of holomorphic curves in symplectic geometry is the key ingredient for the construction of symplectic invariants. These moduli spaces are suitable compactifications of solution spaces of a first order nonlinear Cauchy-Riemann type operator. The solution spaces are usually not compact due to bubbling-off phenomena and other analytical difficulties.