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Integrable Systems and Random Matrix Theory Seminar

Fredholm determinants, exact solutions to the Kardar-Parisi-Zhang equation and integro-differential Painleve equations.
Monday, October 26, 2020
4:00-5:00 PM
Zoom Meeting: 91617339235 Passcode: 651935 Off Campus Location
As Fredholm determinants are more and more frequent in the context of stochastic integrability, I discuss in this talk the existence of a common framework in many integrable systems where they appear. This consists in a hierarchy of equations, akin to the Zakharov-Shabat system, connecting an integro-differential extension of the Painleve II hierarchy, the finite-time solutions of the KardarParisi-Zhang equation and multi-critical fermions at finite temperature. The talk is based on the results of the paper arXiv:2008.01509 Speaker(s): Alexandre Krajenbrink (SISSA)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics