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Index and Eigenvalue theorems for Waves and Coherent Structures

By Jared Bronski, University of Illinois at Urbana-Champaign

There are many situations where it is necessary to count the number of negative eigenvalues of some operator, for instance if one is trying to compute the dimension of an unstable manifold to some solution. Often these kind of counting problems lend themselves to a geometric or topological approach. We discuss some problems of this type that have come up in the authors work in recent years.

Earlier Event: June 8