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SUMMARY:Xiao-Wu Chen (USTC Hefei\, China)
DTSTART:20211021T110000Z
DTEND:20211021T120000Z
DTSTAMP:20260423T023019Z
UID:LAGOON/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/50/">
 The dg Leavitt path algebra\, singular Yonda category and singularity cate
 gory</a>\nby Xiao-Wu Chen (USTC Hefei\, China) as part of Longitudinal Alg
 ebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nWe prove tha
 t\, for any finite dimensional algebra given by a quiver with relations\, 
 its dg singularity category is quasi-equivalent to the perfect dg derived 
 category of the dg Leavitt path algebra of its radical quiver. This result
  might be viewed as a deformation of the known description of the dg singu
 larity category of a radical-square-zero algebra in terms of a Leavitt pat
 h algebra. The main ingredient is  a new dg enhancement of the singularity
  category\, namely the singular Yoneda dg category\, which is obtained by 
 a new strict dg localization inverting a natural transformation. This is j
 oint with Zhengfang Wang.\n
LOCATION:https://researchseminars.org/talk/LAGOON/50/
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