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SUMMARY:Alfilgen Sebandal (Mindanao State University\, Philippines)
DTSTART:20231002T150000Z
DTEND:20231002T160000Z
DTSTAMP:20260423T021133Z
UID:ENAAS/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/39/">F
 inite graded classification conjecture for Leavitt path algebras</a>\nby A
 lfilgen Sebandal (Mindanao State University\, Philippines) as part of Euro
 pean Non-Associative Algebra Seminar\n\n\nAbstract\nGiven a directed graph
 \, one can associate two algebraic entities: the Leavitt path algebra and 
 the talented monoid. The Graded Classification conjecture states that the 
 talented monoid could be a graded invariant for the Leavitt path algebra\,
  i.e.\, isomorphism in the talented monoids reflects as graded equivalence
  in the category of graded modules over the Leavitt path algebra of the co
 rresponding directed graphs. In this talk\, we shall see confirmations of 
 this invariance in the ideal structure of the talented monoid with the so-
 called Gelfand-Kirillov Dimension of the Leavitt path algebra. The last pa
 rt of the talk is an affirmation of the Graded classification conjecture i
 n the finite-dimensional case. This is a compilation of joint works with R
 oozbeh Hazrat\, Wolfgang Bock\, and Jocelyn P. Vilela.\n
LOCATION:https://researchseminars.org/talk/ENAAS/39/
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