LAB LOGA page on LabLog, a review site (not the lab's official page)
Geometry Lab (Inoguchi)
Machine-translated · View original
Research that uses the geometry of Lie groups to understand differential equations that are 'solvable'.
AboutAbout the lab
Moving back and forth between geometry and differential equations.
Prof. Inoguchi studies geometric objects related to Lie groups and differential equations.
Conversely, the professor also investigates differential equations in which geometric structures or backgrounds are hidden, using the geometry of Lie groups and homogeneous spaces.
Differential equations that allow this back-and-forth are infinite-dimensional integrable systems, equipped with a geometry-derived 'mechanism of solvability.'
As a result, a field fusing infinite-dimensional integrable systems with differential geometry has emerged, and in recent years it has come to be called integrable geometry.
Key terms
- Lie group
- A group of symmetries that can be moved continuously, like rotations. It expresses the symmetries of figures and equations
- Homogeneous space
- A space that looks the same from every point. Points can be carried to one another by the action of a Lie group
- Integrable system
- A family of differential equations with a 'mechanism of solvability,' such as solutions whose form can be written down explicitly
ResearchResearch themes
The lab studies geometric objects related to Lie groups and differential equations. Differential equations that allow movement between geometry and equations are infinite-dimensional integrable systems equipped with a geometry-derived 'mechanism of solvability.'
*Illustrative imageLie Groups and Differential Equations
The lab studies geometric objects related to Lie groups and differential equations. Conversely, it also investigates differential equations in which geometric structures or backgrounds are hidden, using the geometry of Lie groups and homogeneous spaces.
*Illustrative imageIntegrable Geometry
Differential equations that allow movement between geometry and equations are infinite-dimensional integrable systems with a geometry-derived 'mechanism of solvability.' The field that fuses these infinite-dimensional integrable systems with differential geometry has come to be called integrable geometry.
*Illustrative imageCollaboration with Other Fields
The lab also takes part in collaborative research with fields outside mathematics, such as industrial design, architectural structural design, and the development of teaching materials.
MembersFaculty
- ProfessorJunichi Inoguchi
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 Geometry Lab (Inoguchi)
Algebra (Numata) LabFaculty of Science, Department of MathematicsEnumerative combinatorics of combinatorial objects in repres…
Geometry Lab (Kobayashi)Faculty of Science, Department of MathematicsConstant mean curvature surfaces and integrable systems; geo…
Geometry (Nozaki) LabFaculty of Science, Department of MathematicsGlobal properties of shapes and spaces: surfaces, knots, and…
Analysis Lab (Yuhei Suzuki)Faculty of Science, Department of MathematicsC*-algebra theory is a framework for understanding infinite-…The 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: “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped)
- Lie Groups and Differential Equations: “Circules in the three sphere” Brnbrnz / CC BY-SA 4.0 (cropped)
- Integrable Geometry: “Soliton hydro” Christophe.Finot et Kamal HAMMANI / CC BY-SA 2.5 (cropped)
- Collaboration with Other Fields: “Saville Building roof interior gridshell” Oosoom / CC BY-SA 3.0 (cropped)
- Related lab (Algebra (Numata) Lab): “Young tableau for partitions of number 10” Unmismoobjetivo / CC BY 4.0 (cropped)
- Related lab (Geometry Lab (Kobayashi)): “Chen-Gackstatter-Thayer surfaces” Anders Sandberg / CC BY-SA 3.0 (cropped)
- Related lab (Geometry (Nozaki) Lab): “Trefoil knot cgi” Altapedia / CC BY-SA 4.0 (cropped)
- Related lab (Analysis Lab (Yuhei Suzuki)): “AnimSun 13” PrzemekMajewski / CC BY-SA 4.0 (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.