Skip to main content
Go to the home page of the European Commission (opens in new window)
English English
CORDIS - EU research results
CORDIS

Modular representation theory of reductive algebraic groups and local Geometric Langlands duality

Project description

Study furthers understanding of the representation theory of reductive groups

Reductive groups, types of linear algebraic groups over a field, are central to the representation theory. The latter is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces and studies modules over these structures. Recent studies have revealed strong connections between the representation theory and local geometric Langlands duality. The EU-funded RedLang project aims to further understanding of the representation theory of reductive groups by leveraging recent advances in the field, especially those pertaining to the computation of character formulas for simple and indecomposable tilting modules.

Objective

"In the recent years the PI has been involved in several breakthrough results in the representation theory of reductive algebraic groups (in particular related to the computation of character formulas for simple and indecomposable tilting modules), obtained using various techniques (in particular geometry and categorification). The present proposal aims at:
1. exploring the new perspectives offered by these results, which go beyond the computation of characters, and by the techniques we have already developed;
2. developing new geometric tools to support these advances.

Our main geometric input will be the development of a modular Local Geometric Langlands duality, in the spirit of work of Bezrukavnikov for characteristic-0 coefficients, and of a modular ""ramified"" geometric Satake equivalence. We expect in particular applications in the study of tilting modules (e.g. their behaviour under restriction to reductive subgroups, and their multiplicative properties), and to the description of the center of the distribution algebra (with a view towards understanding the ""higher linkage"" phenomena)."

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.
This project's classification has been validated by the project's team.

Keywords

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.

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.

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.

ERC-COG - Consolidator Grant

See all projects funded under this funding scheme

Call for proposal

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

(opens in new window) ERC-2020-COG

See all projects funded under this call

Host institution

UNIVERSITE CLERMONT AUVERGNE
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.

€ 918 461,00
Address
49 BD FRANCOIS MITTERRAND
63000 Clermont Ferrand
France

See on map

Region
Auvergne-Rhône-Alpes Auvergne Puy-de-Dôme
Activity type
Higher or Secondary Education Establishments
Links
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.

€ 918 461,00

Beneficiaries (2)

My booklet 0 0