Integrability in Stokes phenomenon.

Abstract: It is well known that for a meromorphic linear system with only regular singularities, any formal solution is necessarily convergent. It is less well known that for meromorphic linear systems with irregular singularities, a prescribed asymptotics at an irregular singular point determine different fundamental solutions in different sectorial regions surrounding the singular point. The transition matrices between the preferred solutions in the different sectoral regions are known as the Stokes matrices. This talk shows a relation between Stokes matrices and various structures appearing in integrability. It then explains that how the theory of quantum groups, Yangians, crystal basis and so on can be used to study the Stokes phenomenon.

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

( video )

Comments: Workshop on Lie theory and integrable systems at BIMSA

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BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.

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