Résumé

An important application of algebraic curves is in the context of integrable systems via multi-dimensional theta functions. 

They give rise for instance to solutions of  the Kadomtsev-Petviashvili hierarchy, a universal integrable system.

This talk aims to make an excursion into this study from the lens of computational algebraic geometry. The emphasis will be on exploiting modern tools in symbolic, numerical and combinatorial algebraic geometry to investigate such solutions and their applications back to the algebraic curves.

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