Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Amaba, Takafumi, Friedrich, Roland
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211012
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian. Takafumi Amaba and Roland Friedrich. SIGMA 16 (2020), 108, 25 pages

We introduce the class of controlled Loewner-Kufarev equations and consider aspects of their algebraic nature. We lift the solution of such a controlled equation to the (Sato)-Segal-Wilson Grassmannian, and discuss its relation with the tau-function. We briefly highlight relations of the Grunsky mat...