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Milanov Lab
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The lab explores string amplitudes through geometry and representation theory.
AboutAbout the lab
From wave equations to the world of strings
Milanov Lab studies geometry and integrable systems.
The KdV equation, a model of waves travelling on shallow water, was discovered at the end of the 20th century to govern the amplitudes of string motion in vacuum.
The lab works on finding KdV-like equations that characterize string amplitudes in more interesting spaces, using complex geometry and representation theory.
The lab studies Gromov-Witten theory and integrable systems, period integrals, mirror symmetry, and related topics.
Key terms
- KdV equation
- An equation describing the motion of waves travelling on shallow water. A representative example of an integrable system.
- Gromov-Witten theory
- A theory in geometry for counting curves in a space, developed in connection with string theory.
- Mirror symmetry
- The phenomenon in which the geometries of two seemingly different spaces correspond to each other through string theory.
ResearchResearch themes
The lab's research fields are geometry and integrable systems. Aiming to characterize string amplitudes with equations similar to the KdV equation, the lab uses complex geometry and representation theory.
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MembersFaculty
- ProfessorTodor Milanov
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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: “Periodic waves in shallow water” US Army / Public domain (cropped)
- Gromov-Witten Theory and Integrable Systems: “CalabiYau5” Andrew J. Hanson / CC BY-SA 3.0 (cropped)
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