Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Homotopy Algebras and PDEs

Luca Vitagliano

created by risa on 06 Feb 2015

11 feb 2015 -- 14:30

Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma


The jet space approach is a powerfool tool to study invariant properties of PDEs, i.e. properties independent of the choice of coordinates (symmetries, conservation laws, recursion operators, etc.). The highest outcome of this approach is that the space of solutions of a PDE is a "derived manifold", which roughly means that vector fields, differential forms, etc. on it form "algebras up to homotopy". The aim of the talk is providing a smooth introduction to the homotopical algebra of PDEs.

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