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Kuwabara Lab
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The lab applies sheaves of microdifferential operators to representation theory and mathematical physics.
AboutAbout the lab
Applying microdifferential operators to representation theory
The Kuwabara Lab studies applications of sheaves of microdifferential operators, obtained as deformation quantizations, to the representation theory of noncommutative algebras and vertex algebras, as well as to mathematical physics.
The lab specializes in representation theory and microlocal analysis, and belongs to the Analysis Group of the Mathematics Degree Program.
Its listed research keywords include vertex algebras, conformal field theory, quiver varieties, and rational Cherednik algebras.
Key terms
- representation theory
- A field of mathematics that studies objects such as algebras by replacing them with more manageable ones, such as matrices
- deformation quantization
- A method of constructing a noncommutative algebra by gradually deforming the product of an algebra
- vertex algebra
- An algebraic structure that appears in conformal field theory in mathematical physics
ResearchResearch themes
The lab focuses on microlocal analysis and representation theory, studying algebras related to symplectic manifolds. A recent talk covered vertex algebras associated with resolutions of symplectic singularities.
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MembersFaculty
- Associate ProfessorToshiro Kuwabara
VoicesStudent voices
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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: “Matematička gimnazija - Mathematical Gymnasium Belgrade - MGB - Physics Laboratory 1” MGB / Public domain (cropped)
- Sheaves of Microdifferential Operators and Representation Theory: “The board” Yulia Meshkova / CC BY 4.0 (cropped)
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