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.
Fields of science
Programme(s)
Topic(s)
Funding Scheme
ERC-STG - Starting Grant
Host institution
53113 Bonn
Germany
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Beneficiaries (2)
53113 Bonn
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Participation ended
CB2 1TN Cambridge