CORDIS Project
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This project aims to bridge the gap between arithmetic geometry and derived categories by proving that the zeta function of algebraic varieties can be detected through derived categories. It seeks to enhance interaction between these two areas and advance mathematical techniques.
Arithmetic geometry and the study of derived categories of coherent sheaves are two central areas of research in algebraic geometry.
Despite their many points of contact, they have until recently remained largely disjoint.
The zeta function of an algebraic variety over a finite field is one of the most studied invariants in arithmetic geometry, and a conjecture of Orlov predicts that this invariant can be detected by the derived category of coherent sheaves on the variety.
In this project, I wil…
UNIVERSITEIT VAN AMSTERDAM
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