LAB LOGA page on LabLog, a review site (not the lab's official page)
Kobayashi Lab
Machine-translated · View original
The lab explores Lie groups and infinite-dimensional representation theory, with symmetry as its central theme.
AboutAbout the lab
Exploring spaces and representations through symmetry
The Kobayashi Lab studies Lie groups and infinite-dimensional representation theory in the fields of symmetry, global geometry, and global analysis.
The lab works on the global geometry of locally homogeneous spaces (discontinuous group theory) and on a theory that algebraically describes symmetry breaking in infinite-dimensional settings (branching laws of representations).
The lab also studies global analysis on minimal representations, as well as multiplicity-free representations using the notion of "visible actions" on complex manifolds.
Key terms
- Lie group
- A group formed by the totality of symmetries that can be varied continuously, such as rotations
- Representation theory
- A theory that studies symmetries, such as those of groups, by expressing them as matrices or linear transformations
- Branching law
- A rule describing how a representation of a larger group decomposes when restricted to a smaller group
ResearchResearch themes
The lab's research themes are Lie groups and infinite-dimensional representation theory, noncommutative harmonic analysis, discontinuous group theory, and integral geometry. In the fields of symmetry, global geometry, and global analysis, it investigates the global geometry of spaces and the theory of representations.
View More ↗
MembersFaculty
- ProfessorToshiyuki KobayashiPublications ↗
VoicesStudent voices
Ratings and reviews reflect the experiences of individual current or former students, not the lab's official views. Whether a lab has reviews, or how many, says nothing about the lab itself.
Students who take part in an interview may receive a thank-you gift worth ¥1,000, regardless of what they say.
Student ratings (0 students)
--
--
--
--
--
--
Student voices answer questions like these
- What's great about this lab?
- What did you learn after joining?
- What's the vibe, and what is the professor like?
- Who is this lab for?
- Where do graduates go?
Your experience can help younger students choose their lab. Your name won't be shown.
Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Kobayashi Lab
Abe LabFaculty of Science, Department of MathematicsRepresentation theory
Oshima LabFaculty of Science, Department of MathematicsRepresentation theory
Iyama LabFaculty of Science, Department of MathematicsAlgebra, ring theory, representation theory
Yoshino LabFaculty of Science, Department of MathematicsLie groups, geometryThe information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Hyperbolic tiling 7-2 7” Double sharp (talk), based on this picture by Jim McNeill, but with the centres of the heptagrams left uncoloured to prevent colours from overlapping. Created using Tyler and Paint. / Public domain (cropped)
- Lie Groups and Infinite-Dimensional Representation Theory: “Base for the G2 root system” Mathphysman / CC BY-SA 4.0 (cropped)
- Related lab (Abe Lab): “E8-with-thread” Jlrodri / CC BY-SA 3.0 (cropped)
- Related lab (Oshima Lab): “Weyl chambers for A2” Mathphysman / CC BY-SA 4.0 (cropped)
- Related lab (Iyama Lab): “Associaedre bleu” Kilom691 / CC BY-SA 4.0 (cropped)
- Related lab (Yoshino Lab): “Uniform tiling 443-t01” Tom Ruen / Public domain (cropped)
About LabLog
LabLog is a lab review app for students only. Student members at each university interview students in labs and publish what they say. Student voices can only be read by students who sign up with a university email address. Operated by bestiee Inc.
Learn more about LabLog ↗Search engines and AI may reference the basic lab info and rating summaries on this page and the description of LabLog. Student voices are for student members only. Automated collection by programs (scraping, or input to or training of AI) is prohibited under Article 8 of the Terms of Service. If you need data for research or analysis, please contact us.