[PHK_seminar] [Cohomology]Wednesday 6 Mar, Aliaksandr Hancharuk]

[Petr Somberg]

 This is just a remainder of our seminar starting quite soon!

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     Cohomology in algebra, geometry, physics and statistics




         Wednesday, 6 March 2024 - 13:30 to 14:30

         Place: ZOOM metting




         Speaker: Aliaksandr Hancharuk, Jilin University (China)

         Title: Koszul-Tate resolutions and trees



         Abstract


Given 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
finitely many operations are needed to construct the arborescent
Koszul-Tate resolution---this is compared with the classical Tate
algorithm, which may require infinitely many such computations. Examples
and applications are discussed. This is based on a joint work with Camille
Laurent-Gengoux and Thomas Strobl.




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