CORDIS Project
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This project explores the intersection of algebra and geometry through the study of algebraic varieties. It investigates stability conditions, constructs explicit models for hyperkähler manifolds, and addresses conjectures related to categorical structures in birational geometry.
This proposal is situated in algebraic geometry, a field where geometry and algebraic structures interact closely.
The geometry of an algebraic variety is studied through algebraic techniques, in particular by organizing sheaves into categories and derived categories, which serve as refined invariants of the variety.
This categorical viewpoint forms a common ground connecting homological algebra, mirror symmetry, representation theory, and theoretical physics, and provides a natural framework fo…
UNIVERSITA DEGLI STUDI DI MILANO
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