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p-adic Groups, Representations, and the Langlands Program

Project description

Laying the foundations for the representation theory of p-adic groups

Representation theory studies abstract algebraic structures by representing their elements as linear transformations of vector spaces and investigates how they act on vector spaces. A fundamental problem of this theory is the construction of all representation types (irreducible, smooth, complex) of certain matrix groups, called p-adic groups. Despite much progress in the field over the last 40 years, surprisingly little is known about these representations in the general setting. The p-adic number systems play a fundamental role in number theory and in other parts of mathematics, offering a wide number range of settings to explore questions about rational numbers. The EU-funded GReatLaP project aims to construct all representations in full generality. The project will then extend the representation theory of p-adic groups to the study of the global and relative Langlands programme.

Host institution

RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT BONN
Net EU contribution
€ 1 499 491,00
Address
Regina Pacis Weg 3
53113 Bonn
Germany

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Region
Nordrhein-Westfalen Köln Bonn, Kreisfreie Stadt
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00

Beneficiaries (2)

RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT BONN
Germany
Net EU contribution
€ 1 499 491,00
Address
Regina Pacis Weg 3
53113 Bonn

See on map

Region
Nordrhein-Westfalen Köln Bonn, Kreisfreie Stadt
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00
THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE

Participation ended

United Kingdom
Net EU contribution
€ 0,00
Address
Trinity Lane The Old Schools
CB2 1TN Cambridge
Region
East of England East Anglia Cambridgeshire CC
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00