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SUMMARY:Aliaksandr Hancharuk (Jilin University\, China)
DTSTART:20260720T150000Z
DTEND:20260720T160000Z
DTSTAMP:20260714T041217Z
UID:ENAAS/186
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/186/">
 On construction of differential $\\mathbb Z$-graded varieties</a>\nby Alia
 ksandr Hancharuk (Jilin University\, China) as part of European Non-Associ
 ative Algebra Seminar\n\nInteractive livestream: https://us02web.zoom.us/j
 /7803181064\n\nAbstract\nGiven a commutative unital algebra $\\mathcal O$\
 , a proper ideal $I$ in $\\mathcal O$\, and a positively graded differenti
 al variety over $\\mathcal{O}/I\,$ \nwe provide a $\\mathbb Z$-graded exte
 nsion\, whose negative part is an arborescent Koszul-Tate resolution of $\
 \mathcal{O}/I.$ \nThis extension is obtained through an algorithm exploiti
 ng the explicit homotopy retract data of the arborescent Koszul-Tate resol
 ution\, so that the number of homological computations in the construction
  is significantly reduced. For a positively graded differential variety ov
 er $\\mathcal O$ that preserves the ideal $I$\, the extension admits a man
 ifest description in terms of decorated trees and computed data.\n
LOCATION:https://researchseminars.org/talk/ENAAS/186/
URL:https://us02web.zoom.us/j/7803181064
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