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Tsuji Lab
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An arithmetic geometry lab that studies geometric objects through the world of p-adic numbers.
AboutAbout the lab
Seeing geometry through p-adic eyes.
The Tsuji Lab studies p-adic Hodge theory and p-adic cohomology in the field of arithmetic geometry.
The lab investigates the p-adic cohomology of algebraic varieties defined over p-adic fields.
It also studies special values of L-functions and their applications to p-adic L-functions.
Key terms
- p-adic field
- A number system built on the idea of measuring how close numbers are by how many times they are divisible by a prime p
- Cohomology
- A tool for extracting information about a shape, such as its holes and how its parts are connected, in the language of algebra
- L-function
- A function that packages the properties of numbers into the form of an infinite series. The Riemann zeta function is the best-known example
ResearchResearch themes
The lab's research field is arithmetic geometry, with p-adic Hodge theory and p-adic cohomology as its themes. It studies algebraic varieties over p-adic fields and also works on applications to L-functions.
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MembersFaculty
- ProfessorTakeshi Tsuji
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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: “Riemann zeta surface” SteJaes / CC BY-SA 4.0 (cropped)
- p-adic Hodge Theory and p-adic Cohomology: “3-adic integers” LightbulbMEOW / CC BY-SA 4.0 (cropped)
- Related lab (Imai Lab): “A Klein Quartic embedding in 3D” Ferkel / CC BY-SA 4.0 (cropped)
- Related lab (Shiho Lab): “Elliptic curve y^2=x^3-x on finite field Z 89” Technopop.tattoo / CC0 (cropped)
- Related lab (Abe Lab): “3-adic integers” LightbulbMEOW / CC BY-SA 4.0 (cropped)
- Related lab (Saito Lab): “Algebraicszoom” Stephen J. Brooks (talk) Source code in C with OpenGL. / CC BY 3.0 (cropped)
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