The Krichever correspondence and the theory of commuting ordinary differential operators

Abstract: I plan to continue my talk from February 16th. As a reminder, that talk discussed the KP hierarchy, its unique solvability, and the existence of exact solutions written out using Krichever's formulas. These solutions are of an algebraic-geometric nature and are related to the geometry of algebraic curves and their compactified Jacobians, as well as to the classification theory of commuting ordinary differential operators. I plan to expand on this theory, in particular, discussing its various versions, including the latest classification in terms of normal forms.

mathematical physicsalgebraic topologycombinatoricsgeometric topologyrings and algebrasrepresentation theory

Audience: researchers in the topic

Knots, graphs and groups

Series comments: Zoom - Meeting ID: 818 6674 5751 Passcode: 141592

Link: us02web.zoom.us/j/81866745751?pwd=bEFqUUlZM1hVV0tvN0xWdXRsV2pnQT09

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