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Geometry 2 & Algebra 2 Lab (Differential Geometry, Algebraic Analysis and Mathematical Physics; Hiroshi Iritani)
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A lab that studies mirror symmetry and Gromov–Witten theory.
AboutAbout the lab
Exploring mirror symmetry, the link between two geometries.
The Iritani Lab studies mirror symmetry in differential geometry and mathematical physics.
Its main themes are Hodge-theoretic mirror symmetry and the global properties of Gromov–Witten theory.
The lab also works on quantum cohomology, the crepant transformation conjecture, and the Gamma conjecture.
Key terms
- Mirror symmetry
- A relationship in which two geometries that look different carry the same information behind the scenes. It was discovered in superstring theory.
- Gromov–Witten theory
- A theory that studies the properties of a space by counting the curves inside it.
- Quantum cohomology
- A deformation of the shape information of a space (its cohomology) using information from curve counts.
ResearchResearch themes
The lab studies Hodge-theoretic mirror symmetry and the global properties of Gromov–Witten theory. Quantum cohomology and mirror symmetry are at the center of its research.
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MembersFaculty
- ProfessorHiroshi Iritani
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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: “Calabi-Yau” Lunch / CC BY-SA 2.5 (cropped)
- Mirror symmetry for orbifolds and Landau–Ginzburg models: “Consani-Scholten” Ursulageorges / CC BY 4.0 (cropped)
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