CORDIS Project
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The project focuses on developing mathematical techniques related to Motives and the Riemann-Roch theorem to address various arithmetic problems. It aims to prove conjectures in both integral and discrete Riemann-Roch contexts, as well as explore intersection theory in arithmetic settings.
Our project “Riemann-Roch and Motives for Arithmetic Problems” aims to develop techniques in the area of Motives and the Riemann-Roch to attack arithmetic problems.
To be more concrete we aim to attack:- The integral Riemann-Roch:
At SGA VI Grothendieck developed his landmark Riemann-Roch result stating an integral version of it as an open question.
Later on, research of Fulton, MacPherson and Pappas raised Grothendieck original conjecture to a more complete statement related to traces, which is…
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