Workshop
Sato Grassmannian and polynomial theta functions
- Daniele Agostini (Universitaet Tuebingen, Tuebingen, Germany)
Abstract
The Sato Grassmannian is a certain infinite dimensional version of the Grassmannian, which encodes all solutions to the KP hierarchy, an infinite series of partial differential equations. On the other hand, such solutions can be constructed explicitly via the theta function of an algebraic curve. I will show that when the curve is particularly degenerate, we get rational solutions to the KP equation, and I will use the Sato Grassmannian as an essential tool.
This is joint work with Turku Celik and John Little.
