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Yamakawa Lab
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A geometry lab that views figures and equations as points of higher-dimensional figures.
AboutAbout the lab
Viewing figures and equations as points of a higher-dimensional figure
The Yamakawa Lab studies symplectic geometry and algebraic geometry.
In modern mathematics, mathematical objects such as figures, equations, and functions are sometimes regarded as points in a higher-dimensional figure (a moduli space).
This makes it possible to treat a deformation of the object under consideration as the movement of a point in the moduli space.
The lab particularly studies isomonodromic deformations of meromorphic connections on compact Riemann surfaces, using the complex symplectic structure of the moduli space.
Key terms
- Moduli space
- A higher-dimensional figure that collects mathematical objects such as figures, equations, and functions as points. A deformation of an object becomes the movement of a point
ResearchResearch themes
The lab studies mathematical objects such as figures, equations, and functions by regarding them as points of a moduli space, which is a higher-dimensional figure. Its research fields are symplectic geometry and algebraic geometry, and its research themes are moduli spaces of meromorphic connections, wild character varieties, and isomonodromic deformations.
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MembersFaculty
- Associate ProfessorDaisuke Yamakawa
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: “Algebraic surfaces” Ashton Bradley Aspir8 / CC BY-SA 4.0 (cropped)
- Study of isomonodromic deformations: “EAI680 differential equation display” Autopilot / CC BY-SA 4.0 (cropped)
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- Related lab (小池研究室): “Gyroid surface with Gaussian curvature” 作者不詳 / Public domain (cropped)
- Related lab (佐古研究室): “Extended universe logarithmic illustration (English annotated)” Pablo Carlos Budassi / CC BY-SA 4.0 (cropped)
- Related lab (新田研究室): “First eigenspace of the Bolza surface” Joroco246 / CC BY-SA 4.0 (cropped)
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