Objective
"Geometry, arithmetic, and quantum physics historically have had many points of intersection. This project will use recent techniques in algebraic group actions, especially those of Kirwan, to address problems of overlapping interest to distinct research groups at the University of Oxford – Algebraic Geometry, Number Theory, Mathematical Physics, and the Centre for Quantum Mathematics and Computation.
Consider the following long-standing, a priori unrelated, questions. What is the minimal degree curve that passes through n points in general position in the plane (Nagata conjecture)? What is the growth rate of the number of integer lattice points in a variety (for us, universal torsor over a Fano variety) with respect to a height function (Manin conjecture)? How can one work with quantum entanglements of different qualitative character and associated entropies in a rigorous yet
experimentally friendly way?
These open questions turn out to admit a common source, at least in a large class of problems of interest. The crucial
ingredient is a suitable ""homotopic replacement for a universal torsor"" -- arising, in nice cases, from a key difference with topology, since in algebraic geometry algebraic affine line bundles needn't be vector bundles -- that often allows one to reduce to studying a simpler problem in group actions attached to an affine space rather than to a complicated variety or even more complicated universal torsor."
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 physical sciences quantum physics
- natural sciences mathematics applied mathematics mathematical physics
- natural sciences mathematics pure mathematics arithmetics
- 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.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
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.
MSCA-IF-EF-ST - Standard EF
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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.
(opens in new window) H2020-MSCA-IF-2016
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
OX1 2JD Oxford
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.