Objective
This project aims to develop topics in contemporary representation theory by making novel connections between two different approaches: tilting theory and model theory. Tilting theory is a set of tools that allows us to formally compare derived categories and has applications in many areas such as Lie theory, algebraic geometry and topology. Our work will take place in the richer setting of silting theory, which encompasses traditional tilting theory but also enables the study of important abelian subcategories of the derived category that are not necessarily derived equivalent to the ring.
We will approach silting theory using techniques originating in mathematical logic, that is, we will use the model theoretic approach to purity. It has been observed for many years that there is a connection between purity and tilting theory but the underlying reasons for the link have still not been properly explained. Our new perspective aims to explain and deepen these connections. The key techniques we will use involve localisations of functor categories and their connection to a topological space called the Ziegler spectrum.
There are two main objectives in this proposal: firstly we will strengthen the foundations of the connection between silting theory and purity and secondly we will apply our new approach to classification problems in the representation theory of finite-dimensional algebras.
The Experienced Researcher (Dr. Rosanna Laking) will work on the project under the supervision of Prof. Angeleri Hügel at the University of Verona for a period of 24 months. In addition to the valuable exchange of knowledge between the Experienced Researcher and the large number of experts on tilting theory in the region of Verona, this fellowship will enable Dr. Laking to develop skills in teaching, project management and communication.
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: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics pure mathematics discrete mathematics mathematical logic
- natural sciences mathematics pure mathematics topology
- 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-2017
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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.
37129 Verona
Italy
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.