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Seminario Dottorato: “Abelian Model Structures”

Wednesday 16 May 2018, h. 14:30 - Room 2BC30 - Marco Tarantino

ARGOMENTI: Seminari Dottorato

Wednesday 16 May 2018 h. 14:30, Room 2BC30
Marco Tarantino (Padova, Dip. Mat.)
“Abelian Model Structures”

Abstract
Model categories were introduced by Quillen in 1967 as an axiomatized setting in which it is possible to "do homotopy theory", by inverting a class of morphisms called weak equivalences. The construction involves the use of two more classes of morphisms, which, together with the weak equivalences, form what is called a model structure. In the case of abelian categories there are particular model structures, called abelian model structures, that can be constructed by means of objects rather than morphisms, using complete cotorsion pairs.We will present the theory of abelian model structures, showing how they can be applied to the particular case of R-modules to recover the derived category of the ring.

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