RIEMANN-HILBERT CORRESPONDENCE FROM THE POINT OF VIEW OF HOLOMORPHIC FLOER THEORY

Speaker(s)

YAN SOIBELMAN

Affiliation

Kansas State University, Manhattan, USA

Language of the talk

English

Date

Dec. 3, 2025, 5:15 p.m.

Information about the event

IMPAN - Room 405

Title in Polish

RIEMANN-HILBERT CORRESPONDENCE FROM THE POINT OF VIEW OF HOLOMORPHIC FLOER THEORY

Seminar

North Atlantic Noncommutative Geometry Seminar

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To a complex symplectic manifold M one can assign two non-commutative spaces represented by two categories: one by the category of modules over the quantized sheaf of analytic functions on M, and one by the Fukaya category of M. The former appears, e.g., in the theory of D-modules or in representation theory. The latter is familiar to symplectic topologists doing Floer Theory. I am going to overview our more than 10-year old project with Maxim Kontsevich in which both categories appear together in a generalization of the Riemann-Hilbert correspondence.

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