Objective
Dr. Coskunuzer will undertake research in Differential Geometry and Geometric Topology. He will investigate the problems in minimal surface theory in hyperbolic space by using topological techniques. There are five main problems in the project. PROBLEM 1: (Universal Cover Conjecture) The first one is a famous classical 3-manifold topology problem, namely The Universal Cover Conjecture. The Conjecture asserts that the universal cover of any irreducible 3-manifold with infinite fundamental group is a 3-ball. This problem is one of the most famous problems in geometric topology. PROBLEM 2: (Intersections of Least Area Planes in Hyperbolic 3-space) The second main problem is about Least Area Planes in Hyperbolic 3-space. In recent years, Dr. Coskunuzer showed very strong generic uniqueness results on the subject. Now, he is studying the intersections of different least area planes with non-transverse asymptotic boundary. He is aiming to prove that these planes are also disjoint. Such a result will have a very wide range of applications in geometric topology. PROBLEM 3: (Properly Embedded Least Area Planes in Hyperbolic 3-space) Dr. Coskunuzer is aiming to prove another ambitious conjecture about the least area planes in hyperbolic 3-space in this project. The conjecture is that any least area plane in hyperbolic 3-space whose asymptotic boundary is a simple closed curve is properly embedded. He already got very strong partial results about the conjecture. PROBLEM 4: (Hyperbolic 3-manifolds with Minimal Foliation) The next problem in the project is the existence of a hyperbolic 3-manifold with foliation by minimal surfaces. This is also a famous question in geometric topology. PROBLEM 5: (Embedded Plateau Problem) The aim is to prove the following conjecture: For any nullhomotopic curve C in a 3-manifold M, there is an embedded disk which minimizes the area among the embedded disks in M with boundary C.
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
- natural sciences mathematics pure mathematics geometry
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.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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-IRG-2008
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
34450 Istanbul
Türkiye
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.