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Algebra 2 and Geometry 2 Lab (Complex Geometry, Algebraic Geometry, Differential Geometry; Kenichi Yoshikawa)
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The lab studies analytic torsion and the Quillen metric.
AboutAbout the lab
Measuring the twist of shapes and connecting it to automorphic forms.
The lab studies analytic torsion and the Quillen metric in the field of complex geometry.
Its main research themes are the moduli spaces of these objects and their applications to automorphic forms.
It also works on constructing invariants of Calabi-Yau type manifolds using analytic torsion.
Key terms
- Analytic torsion
- A quantity determined by the eigenvalues of the Laplacian on a shape, expressing how twisted the shape is
- Moduli space
- A space formed by collecting all shapes of a certain kind and treating each one as a single point
- Automorphic form
- A function with strong symmetry, connected to many problems in number theory and geometry
ResearchResearch themes
The lab studies analytic torsion and the Quillen metric, their moduli spaces, and applications to automorphic forms.
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MembersFaculty
- ProfessorKenichi Yoshikawa
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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: “Espace de Calabi-Yau” Rogilbert / Public domain (cropped)
- Invariants from Analytic Torsion: “J-inv-poincare” en:user:Linas / CC BY-SA 3.0 (cropped)
- Related lab (Geometry 1 Lab (Topology; Tadayuki Watanabe)): “Borromean Rings Illusion” Jim.belk / Public domain (cropped)
- Related lab (Algebra 1 (Number Theory) Lab (Atobe)): “Bruhat-Tits-tree-for-Q-2” 부고 / 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)
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