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Geometry 1 and Analysis 2 (Topology, Operator Algebras) Lab (Kubota)
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A lab that studies the topology of operator algebras through noncommutative geometry.
AboutAbout the lab
Exploring the geometric properties hidden in algebras of operators.
The Kubota Lab specializes in noncommutative geometry and studies the topological aspects of objects arising in functional analysis.
It aims to apply the theory of operators and of the algebras they form to geometry and condensed matter physics.
Along the way, the lab also works on large-scale geometry (coarse geometry), which views groups and metric spaces from afar.
Key terms
- Noncommutative geometry
- A geometry that treats algebras in which the result depends on the order of multiplication as if they were geometric spaces
- Coarse geometry
- A geometry that studies the rough shape of a space or group, visible only when viewed from far away
- Topological phase
- A state of matter classified by quantities that remain unchanged under continuous deformation
ResearchResearch themes
The lab studies noncommutative geometry, aiming to apply the theory of algebras of operators to geometry and condensed matter physics.
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MembersFaculty
- Associate ProfessorYosuke Kubota
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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: “Topological insulator band structure” A13ean / CC BY-SA 4.0 (cropped)
- Index Theory and Topological Phases: “Edelstein effect topological insulators” Carlo Zucchetti / Public domain (cropped)
- Related lab (Geometry 1 Lab (Topology; Tadayuki Watanabe)): “Borromean Rings Illusion” Jim.belk / Public domain (cropped)
- Related lab (Geometry 1 (Low-Dimensional Topology, Gauge Theory) Lab): “Superfície não orientável - Bordo trifólio” Object made by MockUp Company, photo by Rodrigo.Argenton / CC BY-SA 4.0 (cropped)
- Related lab (Geometry 2 Lab (Differential Geometry; Tsuyoshi Kato)): “3D-Leveltorus-Reebgraph” 3D-Leveltorus.png: Kieff derivative work: Ilya Voyager (talk) / Public domain (cropped)
- Related lab (Analysis 2 (Operator Algebras, Functional Analysis) Lab (Masaki Izumi)): “JonesLink” ProfKnots / CC BY-SA 4.0 (cropped)
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