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Integrable evolution PDEs of geometric type and Bol's loops

Grant number: 23/14060-7
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: February 09, 2024 - June 06, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Alexandre Grichkov
Grantee:Alexandre Grichkov
Visiting researcher: Vladimir Sokolov
Visiting researcher institution: Russian Academy of Sciences (RAS), Russia
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:18/23690-6 - Structures, representations, and applications of algebraic systems, AP.TEM


A geometric description of a class of integrable evolution PDE systems involves anane connection and a covariantly constant tensor of rank (1; 3). Integrability imposes strongconditions on both the ane connection and on the tensor. In particular, the tensor turns outto be a deformation of a triple Jordan system. The goal of the project is an investigation of theabove geometrical structures and a construction of new examples of corresponding integrablemodels. (AU)

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