CORDIS Project
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This project explores the theory of integrable systems and their connections to field theories. It aims to develop dispersive deformations, formulate classical approaches to Frobenius manifolds, and advance the quantization of Whitham hierarchies using differential algebraic geometry methods.
The issues of the research project are focused on the theory of integrable systems and its relation to the field theories.
The first objective is further development of the theory of the integrability preserving dispersive deformations of integrable dispersionless systems.
Next is the formulation of the classical R-matrix approach to the Frobenius manifolds.
Another objective is the revision of the theory of Whitham hierarchies related to the moduli spaces of Riemann surfaces of all genera.
The…
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