CORDIS Project
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This project aims to expand Voevodsky's category of étale motives by incorporating topological rings as coefficients. It seeks to develop a new framework for understanding ℓ-adic cohomology, addressing long-standing mathematical questions and enhancing the study of motivic categories.
The main goal of this project is to construct an enlargement of Voevodsky's category of étale motives in which topological rings can be considered as coefficients.
In this formalism, ℓ-adic realization functors will be particularly well-behaved and simply given by changing the ring of coefficients to the topological ring of ℓ-adic numbers.
This will be achieved by merging Voevodsky's ideas with the recent work of Clausen–Scholze on condensed mathematics. A key technical challenge is to generaliz…
KOBENHAVNS UNIVERSITET
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