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SUMMARY:Dmitry Talalaev (MSU\, YarSU\, ITEP)
DTSTART:20230120T090000Z
DTEND:20230120T103000Z
DTSTAMP:20260423T005813Z
UID:BIMSA-ISS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BIMSA-ISS/2/
 ">The full Toda system\, QR decomposition and geometry of the flag varieti
 es</a>\nby Dmitry Talalaev (MSU\, YarSU\, ITEP) as part of BIMSA Integrabl
 e Systems Seminar\n\n\nAbstract\nThe full Toda system is a generalization 
 of an open Toda chain\, which is one of the archetypal examples of integra
 ble systems. The open Toda chain illustrates the connection of the theory 
 of integrable systems with the theory of Lie algebras and Lie groups\, is 
 a representative of the Adler-Kostant-Symes scheme for constructing and so
 lving such systems. Until recently\, only some of the results from this li
 st were known for the full Toda system. I will talk about the construction
 \, the commutative family\, quantization and solution of the full Toda sys
 tem by the QR decomposition method\, as well as about the application of t
 his system to the geometry of flag vaireties. The material of my talk is b
 ased on several joint works with A. Sorin\, Yu. Chernyakov and G. Sharygin
 .\n
LOCATION:https://researchseminars.org/talk/BIMSA-ISS/2/
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