Objective
"Finite dimensional approximation phenomenon is laying at the crossroads of graph theory, group theory and operator algebras. It helps to understand constant-time algorithms, von Neumann factors and several interesting conjectures on discrete groups.
In a nutshell, finite dimensional approximation means that certain infinite structures, groups, graphs, measurable equivalence relations or algebras can be regarded as limits of finite or finite dimensional objects.
Using the limit notions one can prove theorems in the finite world by looking at the limits, or prove theorems about infinite groups or infinite dimensional algebras by investigating the finite objects.
The theory (and the proposal itself) is closely related to famous problems such as
the Atiyah Conjecture or the Connes Embedding Conjecture.
Gabor Elek, the researcher in the proposal is an expert of this area and made successful research on various branches of finite dimensional approximation theory such as sofic groups, L2-invariants, profinite actions and hypergraph limits.
He proposes to attack several problems of the area. His ultimate goal is to work out a general theory of the subject and to extend the scope of finite dimensional approximation theory to some new areas of mathematics.
Elek currently holds a senior researcher position at the Alfred Renyi Mathematical
Institute of the Hungarian Academy of Sciences. If funded, he intends to build further connections between the Hungarian combinatorics school and European institutions."
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 algebra
- natural sciences mathematics pure mathematics mathematical analysis functional analysis operator algebra
- natural sciences mathematics pure mathematics discrete mathematics graph theory
- natural sciences mathematics pure mathematics discrete mathematics combinatorics
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
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.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2010-IEF
See other projects for this call
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
1015 LAUSANNE
Switzerland
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.