Skip to main content

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

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)."

Call for proposal

ERC-2020-COG
See other projects for this call

Host institution

UNIVERSITE CLERMONT AUVERGNE
Address
49 Bd Francois Mitterrand
63000 Clermont Ferrand
France
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 918 461

Beneficiaries (2)

UNIVERSITE CLERMONT AUVERGNE
France
EU contribution
€ 918 461
Address
49 Bd Francois Mitterrand
63000 Clermont Ferrand
Activity type
Higher or Secondary Education Establishments
TECHNISCHE UNIVERSITAT DARMSTADT
Germany
EU contribution
€ 350 090
Address
Karolinenplatz 5
64289 Darmstadt
Activity type
Higher or Secondary Education Establishments