Objective
In this project, I plan to study the interaction between operator theory, function theory and algebraic geometry in some reproducing kernel Hilbert spaces (and their multiplier algebras), which live on subvarieties of the unit ball. The reproducing kernel Hilbert spaces (RKHSs) that I shall consider in this project are the quotients of Drury-Arveson space by a radical, homogeneous ideal.
I plan to address four main problems. First, I plan to compute the essential norm of the continuous multipliers on these RKHSs. Second, I plan to compute the C*-envelope of the operator algebra given by the image of the continuous multipliers on a RKHS in the Calkin algebra of that RKHS. Third, I plan to prove an effective Hilbert's Basis Theorem by showing that every radical homogeneous ideal has the stable division property. Finally, I plan to use the above results to prove some versions of Arveson's conjecture, which states that every quotient of the Drury-Arveson space by a graded submodule is essentially normal.
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 linear algebra
- natural sciences mathematics pure mathematics mathematical analysis functional analysis operator algebra
- 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.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2012-CIG
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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.
MC-CIG - Support for training and career development of researcher (CIG)
Coordinator
32000 Haifa
Israel
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.