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SUMMARY:Aliaksandr Hancharuk (Jilin University\, China)
DTSTART:20260720T150000Z
DTEND:20260720T160000Z
DTSTAMP:20260804T010118Z
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\n\nAbstract\nGiven a commutative unital algebra $\
 \mathcal O$\, a proper ideal $I$ in $\\mathcal O$\, and a positively grade
 d differential variety over $\\mathcal{O}/I\,$ \nwe provide a $\\mathbb Z$
 -graded extension\, whose negative part is an arborescent Koszul-Tate reso
 lution of $\\mathcal{O}/I.$ \nThis extension is obtained through an algori
 thm exploiting the explicit homotopy retract data of the arborescent Koszu
 l-Tate resolution\, so that the number of homological computations in the 
 construction is significantly reduced. For a positively graded differentia
 l variety over $\\mathcal O$ that preserves the ideal $I$\, the extension 
 admits a manifest description in terms of decorated trees and computed dat
 a.\n
LOCATION:https://researchseminars.org/talk/ENAAS/186/
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