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Algebra 1 (Number Theory, Representation Theory) Lab
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The lab studies automorphic representations and special values of L-functions.
AboutAbout the lab
Approaching the values of L-functions through automorphic representations
This lab studies automorphic representations and the special values of their L-functions, in the fields of number theory and representation theory.
It also studies the representation theory of p-adic reductive groups, which arises from this work.
Its work includes the Siegel-Weil formula, periods of automorphic forms, and local representations.
Key terms
- Automorphic representation
- A reformulation of an automorphic form as a representation of a group (that is, how a symmetry acts)
- L-function
- A function that packages information about the properties of numbers into forms such as an infinite product (an Euler product)
- p-adic reductive group
- A type of algebraic group considered over the p-adic numbers, a number system extended by focusing on a prime p
ResearchResearch themes
The lab studies automorphic representations and special values of their L-functions, as well as the representation theory of p-adic reductive groups that arises from them. In its work on automorphic forms and automorphic representations, it deals with the Siegel-Weil formula, periods of automorphic forms, and local representations.
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MembersFaculty
- ProfessorAtsushi Atsushi
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Dedekindeta” SteJaes / CC BY-SA 4.0 (cropped)
- Special Values of L-functions and Automorphic Representations: “3-adic integers” LightbulbMEOW / CC BY-SA 4.0 (cropped)
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（池田 保） ): “KleinInvariantJ” Jan Homann / Public domain (cropped)
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