Fintzen Lab

University of Bonn

Nordrhein-Westfalen (DEA) · Germany

ERC-funded
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ERC Starting Grant · 2020

p-adic Groups, Representations, and the Langlands Program

My objectives consist of laying new foundations for the representation theory of p-adic groups and making significant progress on the local, global and relative Langlands program. The Langlands program is a far-reaching collection of conjectures that relate different areas of mathematics including number theory and representation theory. Work in this area has also lead to the resolution of other major conjectures including Fermat's Last Theorem. A fundamental problem on the representation theory side is the construction of all (irreducible, smooth, complex) representations of certain matrix groups, called p-adic groups. Despite much progress in the past 40 years, we still know surprisingly…

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