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arXiv · 1508.04568

Classifying Linear Canonical Relations

Jonathan Lorand
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Abstract

In this Master's thesis, we consider the problem of classifying, up to conjugation by linear symplectomorphisms, linear canonical relations (lagrangian correspondences) from a finite-dimensional symplectic vector space to itself. We give an elementary introduction to the theory of linear canonical relations and present partial results toward the classification problem. This exposition should be accessible to undergraduate students with a basic familiarity with linear algebra.

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Jonathan Lorand. 2015-08-19. Classifying Linear Canonical Relations. https://arxiv.org/abs/1508.04568

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