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The GEOGRAL project aims to connect the geometric theory of nonlinear partial differential equations with the geometry of Lagrangian Grassmannians. It seeks to explore various mathematical frameworks that can be applied to natural sciences and technology, focusing on integrable systems and variational problems.
The aim of GEOGRAL is to strengthen the bonds of the geometric theory of nonlinear PDEs (and, in particular, integrable systems and equations of Monge-Ampère type) with the geometry of Lagrangian Grassmannians and their submanifolds.
In spite of the evident parallelism between these two disciplines, attempts have been rare, yet sophisticated, to cast a bridge between them, and the Applicant himself already gave his own contribution in this direction: he clarified the structure of the space of n…
INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
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