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SUMMARY:Yasushi Ikeda
DTSTART:20241120T130000Z
DTEND:20241120T144000Z
DTSTAMP:20260423T023009Z
UID:GDEq/119
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/119/">Q
 uantum argument shifts in general linear Lie algebras</a>\nby Yasushi Iked
 a as part of Geometry of differential equations seminar\n\n\nAbstract\nArg
 ument shift algebras in $S(g)$ (where $g$ is a Lie algebra) are Poisson co
 mmutative subalgebras (with respect to the Lie-Poisson bracket)\, generate
 d by iterated argument shifts of Poisson central elements. Inspired by the
  quantum partial derivatives on $U(gl_d)$ proposed by Gurevich\, Pyatov\, 
 and Saponov\, I and Georgy Sharygin showed that the quantum argument shift
  algebras are generated by iterated quantum argument shifts of central ele
 ments in $U(gl_d)$. In this talk\, I will introduce a formula for calculat
 ing iterated quantum argument shifts and generators of the quantum argumen
 t shift algebras up to the second order\, recalling the main theorem.\n\nN
 ote the non-standard start time!\n
LOCATION:https://researchseminars.org/talk/GDEq/119/
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