CORDIS Project
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This project explores the geometry of categories in homotopy theory and algebraic geometry by developing higher Zariski geometry. It aims to create new computational tools and frameworks to address significant conjectures in representation theory and algebraic models for cohomology.
The overarching goal of this project is to reveal and systematically study the geometry of important categories in homotopy theory, algebraic geometry, and representation theory.
To this end, we will introduce and develop the framework of higher Zariski geometry in which commutative rings are replaced by ring-like categories as the fundamental objects.
The resulting theory simultaneously generalizes modern algebraic geometry, derived algebraic geometry as studied by Lurie and Toën--Vezzosi, as w…
MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV
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