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Algebra 1 (Number Theory) Lab (Atobe)
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A lab that studies automorphic forms through the representation theory of p-adic groups.
AboutAbout the lab
Reading the symmetry of numbers through representation theory.
The Atobe Lab studies automorphic forms and automorphic representations in number theory.
Its main themes are the representation theory of p-adic algebraic groups and local A-packets.
The lab also works on the classification of representations of p-adic classical groups.
Key terms
- Automorphic representation
- A reformulation of automorphic forms as representations of a group (that is, how symmetry acts)
- Local A-packet
- A collection of representations of a p-adic group, grouped according to their relationship with automorphic forms
- p-adic algebraic group
- An algebraic group defined over the p-adic numbers, a number system extended by focusing on a prime p
ResearchResearch themes
The lab studies automorphic forms and automorphic representations, the representation theory of p-adic algebraic groups, and local A-packets.
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MembersFaculty
- Associate ProfessorHiraku Atobe
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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: “Bruhat-Tits-tree-for-Q-2” 부고 / CC BY-SA 4.0 (cropped)
- Construction of Local A-packets: “Q-Eulero” Linas Vepstas / CC BY-SA 3.0 (cropped)
- Related lab (Algebra 1 (Number Theory) Lab (Kaoru Hiraga)): “KleinjCont” Empetrisor / CC BY-SA 4.0 (cropped)
- Related lab (Algebra 1 (Number Theory, Representation Theory) Lab (Miyu Suzuki)): “Cayley graphs of quaternion group” PSL27 / CC BY-SA 4.0 (cropped)
- Related lab (Algebra 1 (Number Theory, Representation Theory) Lab): “Dedekindeta” SteJaes / CC BY-SA 4.0 (cropped)
- Related lab (Algebra 1 (Number Theory) Lab (Tamotsu Ikeda)): “KleinInvariantJ” Jan Homann / Public domain (cropped)
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