Objective
Research objectives and content
The goal of my project (based on a forhtcoming collaboration with Muller-Stach, Essen) is to prove a Bloch-Ogus formula for the sheaf associated to the Milnor K-theory, by using Bloch's higher Chow groups. Such formula has applications in the important theory of algebraic cycles. We also expect to prove, as a consequence of our study, general results relating higher Chow groups of rings to cohomology theories arising from algebraic geometry with application to motivic cohomology, which is an area of current research. As the cornerstone of this project is the theory of algebraic cycles and the cohomological methods used in algebraic geometry, it appears that the research group, based in Essen, led by Professors Esnault and Viehweg, who are leading experts in the area, is the only place in Europe where I can realize this project.
Training content (objective, benefit and expected impact)
Main training aspect: Learn advanced topics in cohomological methods used in algebraic geometry and in the theory of algebraic cycles. Main benefit: A stay in Essen would give to me the unique opportunity to enrich my scientific production, upgrading my competence and establishing fruitful contacts with numerous European mathematicians.
Links with industry / industrial relevance (22)
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics algebra algebraic geometry
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
45141 Essen
Germany
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.