From random polynomials to symplectic geometry


Steve Zelditch

Johns Hopkins University



Room 2-190

4:30 p.m., Thursday, April 20, 2000


Abstract:   The study of the zeros, critical points, etc., of random polynomials goes back many years to Bloch-Polya, Littlewood-Offord, Kac and others. Since complex holomorphic homogeneous polynomials are sections of the hyperplane bundle over projective space, it is natural to develop the theory of random polynomials in the setting of positive line bundles over algebraic manifolds. We will present results on the probabilities that holomorphic sections do various things as the degree tends to infinity. The results also apply to "almost-holomorphic" sections of ample line bundles over integral symplectic manifolds.

Home Web page:  Alexandru I. Suciu Created: April 14, 2000
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