Infinite Dimensional Algebra Seminar
Friday, March 01, 2019 at 3:00pm to 5:00pm
2-135
Xiaomeng Xu (MIT)
WKB analysis and integrable systems
In this talk, I will first recall the Stokes matrices of differential equations with irregular singularities. I will then compute the WKB approximation of the Stokes matrices in the simplest case, and explore its relation with Gelfand-Zeitlin systems, total positivity of matrices, and De Concini-Kac-Procesi braid group actions. This is the first step towards the understanding of the relation between WKB analysis and integrable systems proposed by Anton Alekseev, there are many problems remianed to be understood.
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