Objective
"The general topics of this proposal are Poisson algebras, their quantisations and their resolutions. Poisson algebras first appeared in the work of Poisson two centuries ago when he was studying the three-body problem in celestial mechanics. Since then, Poisson algebras have been shown to be connected to many areas of mathematics and physics (differential geometry, Lie groups and representation theory, noncommutative geometry, integrable systems, quantum field theory...) and so, because of its wide range of applications, their study is of great interest for both mathematicians and theoretical physicists. Currently, this subject is one of the most active in both mathematics and mathematical physics. One way to approach Poisson algebras is via quantisation. In this context, Poisson algebras are the semiclassical limits of noncommutative algebras. Naturally, this suggests that the underlying geometry of a Poisson algebra should be intimately connected to the noncommutative geometry of the corresponding ""quantum'' noncommutative algebra; the noncommutative geometry of the ""quantum'' spaces is closely related to the geometry of the space of symplectic leaves. The first main aim of this proposal is to gain a better understanding of the link between Poisson algebras and their ""quantum counterparts'', and then, of course, use it to derive some new results on Poisson and ""quantum'' algebras. In the singular case, another way to attack (singular) Poisson algebras is to consider their resolutions of singularities. Roughly speaking, the idea is to attach to a singular Poisson algebra another Poisson algebra that is smooth and that keeps track, at least on the smooth part, of the Poisson structure of the original singular Poisson algebra. The second aim of this project is to study such resolutions; more precisely, we will study the relationship between symplectic singularities and their symplectic resolutions from the point-of-view of representation theory and combinatorics."
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 applied mathematics mathematical physics
- natural sciences mathematics pure mathematics algebra
- natural sciences physical sciences astronomy planetary sciences celestial mechanics
- natural sciences mathematics pure mathematics geometry
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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-2007-2-2-ERG
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
CT2 7NZ Canterbury, Kent
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.