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SUMMARY:Aliaksandr Hancharuk (Jilin University (China))
DTSTART:20240306T123000Z
DTEND:20240306T133000Z
DTSTAMP:20260416T021130Z
UID:PHK-cohomology-seminar/103
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/103/">Koszul-Tate resolutions and trees</a>\nby Aliaksandr Hanc
 haruk (Jilin University (China)) as part of Prague-Hradec Kralove seminar 
 Cohomology in algebra\, geometry\, physics and statistics\n\n\nAbstract\nG
 iven a commutative algebra O\, a proper ideal I\, and a resolution of O/I 
 by projective O-modules\, we construct an explicit Koszul-Tate resolution.
  We call it the arborescent Koszul-Tate resolution since it is indexed by 
 decorated trees. When the O-module resolution has finite length\, only fin
 itely many operations are needed to construct the arborescent Koszul-Tate 
 resolution---this is compared with the classical Tate algorithm\, which ma
 y require infinitely many such computations. Examples and applications are
  discussed. This is based on a joint work with Camille Laurent-Gengoux and
  Thomas Strobl.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/103/
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