Project description
New tools for quantum field theory
Quantum field theory is a fundamental framework in theoretical physics that offers remarkably precise predictions about the universe. A key tool for these predictions is Feynman diagrams, which visualise particle interactions. With the support of the Marie Skłodowska-Curie Actions programme, the QuantGraph project will create new mathematical methods to better understand and extend these diagrams. In this context, researchers will combine ideas from geometry and advanced algebra. They will also develop a computer tool that will allow them to carry out complex graphical calculations digitally, making abstract theories easier to explore.
Objective
"One of the greatest successes of physics is the quantum field theory (QFT), with its stunningly accurate predictions. These are usually obtained by drawing so-called ""Feynman diagrams"". In this fellowship, I will develop new methods to obtain and manipulate these diagrams, achieving the following two objectives:
The first objective is a generalization of the Batalin-Vilkovisky approach to QFT using ideas from symplectic geometry and operads. The outcome will be a category of operadic Batalin-Vilkovisky theories and generalized Lagrangian relations between them, together with a set of interesting examples and applications to topological recursion. This will be a common generalization of the ideas of Barannikov on modular operads and Batalin-Vilkovisky formalism, and the ideas of Ševera on the quantum odd symplectic category.
The second objective is to develop computer assistant for graphical calculus, or an ""intelligent paper"". This will be an app allowing the user to perform calculations with string diagrams for symmetric and braided tensor categories, bringing the formalism introduced by Penrose to the computer screen.
This will be a strongly interdisciplinary fellowship, combining mathematical research related to physics with applied computer science. Strong dissemination activities are planned to promote the app for graphical calculus, including a secondment at the School of Informatics at the University of Edinburgh, a leading research institute for quantum computing.
At the Departments of Mathematics and Physics of the Humboldt University in Berlin, I will benefit from the active scientific environment and the expertise of my supervisor and co-supervisor. Their mentoring and the fellowship will develop my skills in mathematics, teaching, event organization and dissemination, allowing me to establish myself as a researcher.
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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 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.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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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) HORIZON-MSCA-2024-PF-01
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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.
10117 Berlin
Germany
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