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New Frontiers for Computability

Objective

Recent advances in computability theory have uncovered new pathways to apply computability to prove theorems in other areas of mathematics. Examples include a long-open question in topological dimension theory answered by Kihara and Pauly using computability-theoretic methods and a new proof of the 2-dimensional Kakeya conjecture by Lutz and Lutz. By bringing together the right experts, we will deepen those pathways and find more such applications.

In a parallel development, we will focus on implementating algorithms working on continuous data types. This, too, has promising applications in diverse areas of mathematics. For example, tools that can compute Bloch's constant or the solution to the Lebesgue universal covering problem are within our grasp -- and both these numbers are only known up to the first post-decimal digit. The tools to be developed also have applications outside of mathematics, such as for the verification of hybrid systems.

Both routes to applications built on a shared theoretical foundation, which in itself will be developed further.

Programme(s)

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Topic(s)

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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.

HORIZON-TMA-MSCA-SE - HORIZON TMA MSCA Staff Exchanges

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) HORIZON-MSCA-2024-SE-01

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Coordinator

SWANSEA UNIVERSITY
Net EU contribution

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.

€ 140 280,00
Address
SINGLETON PARK
SA2 8PP Swansea
United Kingdom

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Region
Wales West Wales and The Valleys Swansea
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

No data

Participants (7)

Partners (9)

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