CORDIS Project
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The project focuses on advancing motivic homotopy theory to capture complex phenomena in algebraic geometry that traditional methods overlook. By developing a new framework based on projective bundles, it aims to enhance understanding of algebraic K-theory and related areas.
The proposed project is aimed at establishing new foundations of motivic homotopy theory, which enhances Voevodsky's motivic homotopy theory.
Voevodsky's motivic homotopy theory is based on A1-homotopy theory, and thus it cannot capture non A1-homotopy invariant phenomena in algebraic geometry such as algebraic K-theory (for singular varieties), topological cyclic homology, logarithmic cohomology, deformation theory, (wild) ramification theory, and so on.
Our new foundation is based on projectiv…
KOBENHAVNS UNIVERSITET
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