Objective
My research project is dedicated to the study of braided non-commutative differential geometry which has one of its origins in the theory of quantum groups. I am interested in the construction of braided analogues of (bicovariant) differential calculi on (Hopf) algebras, and in the study of Hochschild and cyclic homology in braided abelian categories. I want to find out if there exist similar close relations between these braided structures as in the classical symmetric case where the objects usually are modules over a commutative ring k.
Training content (objective, benefit and expected impact)
The project generalizes structures of non-commutative differential geometry to braided categories. Extensive use has to be made of categorical methods in braided abelian (ribbon) categories as well as of homology and of differential geometry on (bi- and Hopf) algebras. suitable generalization of these structures to braided categories have to be found. The enlargement of my knowledge and skills through the project will help me to continue my work in the feld of "braided mathematics" and to advance also in other fields of mathematics like low-dimensional topology and Topological Quantum Field Theories.
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 physical sciences quantum physics quantum field theory
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics topology algebraic topology
- natural sciences mathematics pure mathematics geometry
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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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
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Funding Scheme
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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
CB3 9EW Cambridge
United Kingdom
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.