CORDIS Project
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This project aims to develop computational methods for analyzing the rigid and crystalline cohomology of mathematical varieties over finite fields. It focuses on efficiently computing Galois actions and recovering algebraic cycles from cohomology classes, thereby enhancing computational number theory applications in ma…
The purpose of the project is to develop methods for computing with the rigid and crystalline cohomology of varieties over finite fields.
The project will focus on two main problems.
First, the fast computation of the Galois action.
Second, the effective computation of the cycle class map, and the inverse problem of explicitly recovering algebraic cycles from Galois-invariant cohomology classes (c.f. the Tate conjecture).
Research on the first problem would be a natural extension of on-going wor…
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
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