Objective
This project will be hosted at the MIT (outgoing host) and at the University of Zurich (return
host). Its main objectives are :
(I) to develop a theory of homotopy quantum groups. This can be understood as the natural the-
ory that should sit at the intersection of four important disciplines of mathematics and physics :
monoidal categories, homotopy theory, quantum groups and higher categories. This fact gives a
clear multidisciplinary aspect to the proposal.
(II) to prove the formality of the homotopy Lie algebra governing simultaneous deformations of a
Poisson manifold and its coisotropic submanifolds. This is the key step in solving the problem of
quantization of symmetries from the point of view of deformation quantization, giving interdisciplinary applications. These two objectives organize themselves into subobjectives :
I1 ) define homotopy braided monoidal categories (∞-braided ∞-monoidal category)
I2 ) define homotopy quasi-triangular quasi-Hopf algebras (∞-triangular ∞-Hopf algebras)
I3 ) define monodromy for higher connections
I4 ) give examples of higher Drinfeld associators
I5 ) define and give examples of homotopy quantum groups
II1 ) construct the homotopy Lie algebra governing simultaneous deformations of a
Poisson manifold and its coisotropic submanifolds
II2 ) prove the formality of this homotopy Lie algebra.
Interdisciplinary aspects come also from tools used which are borrowed from physics (higher
holonomies, branes, quantization) or from new rewriting techniques in computer science and operads (Gröbner basis).
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 computer and information sciences
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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-2010-IOF
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
8006 ZURICH
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.