CORDIS Project
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This project explores the connections between cluster algebras and mirror symmetry, focusing on geometric models to understand their relationship. It aims to enhance representation theory by linking these mathematical concepts through the study of Calabi-Yau algebras and scattering diagrams.
In this project, I will establish new connections between cluster algebras, mirror symmetry and representation theory through the introduction of geometric models.
Mirror symmetry is a natural phenomenon, first observed in superstring theory, consisting of two main approaches: the A-model, focused on the symplectic side of a Calabi-Yau manifold X, and the B-model, focused on the complex side of the manifold.
Mirror symmetry is a duality between the two models.
Based on this, Kontsevich formulate…
UNIVERSITY OF LEICESTER
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