CORDIS Project
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This project explores the application of p-adic cohomology in algebraic geometry using motivic homotopy theory. It aims to develop a framework for integral log-tale motives and enhance understanding of p-adic realizations, addressing significant mathematical conjectures.
This project aims to study p-adic cohomologies of varieties using tools from motivic homotopy theory.
Voevodsky's theory of motives has played a crucial role in solving deep mathematical conjectures.
However, motives intrinsically lack a theory of tale p-adic realizations.
In this project, we will use logarithmic geometry tools to generalize the motives category and overpass this problem.
More specific goals are related to:Develop a theory of integral log-tale motives and realizations.
Prove a g…
UNIVERSITA DEGLI STUDI DI MILANO
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