Objective
"The goal of the project is to use string topology to understand the homology and cohomology of certain highly interesting groups: automorphism groups of free groups and finite groups of Lie type. The project consists of two parts. In the first, the Experienced Researcher (ER) aims to use string topological techniques he has pioneered and proven effective elsewhere to prove the nontriviality of the Morita and Eisenstein cycles in the homology of automorphism groups of free groups, thereby solving one of the big open questions concerning the homology of these groups. In the second part, the ER and the main supervisor will develop the ""string topology of finite groups of Lie type"" they have recently discovered connecting the cohomology of the free loop space of the classifying space of a compact connected Lie group G and the cohomology of the finite groups of Lie type associated with G with the aim of using it to shed light on the hitherto mysterious Tezuka conjecture asserting that the two cohomologies frequently agree.
Hosted at one of the major centres for algebraic topology in the world and supervised by a world leader in homotopical group theory, the project will have a substantial impact on the ER's career by deepening and broadening his research expertise, especially concerning p-compact groups and cohomology of finite groups; by significantly broadening his research network; and by solidifying his position as a trailblazer and leader in applying techniques from string topology to tackle difficult problems in group homology and cohomology."
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 topology algebraic topology
- 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.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
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.
MSCA-IF-EF-ST - Standard EF
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) H2020-MSCA-IF-2017
See all projects funded under this callCoordinator
Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
1165 KOBENHAVN
Denmark
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.