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Model categories, first introduced by
Quillen in [Qui67], form the foundation of
homotopy theory. Model categories are used
to give an effective construction of the
localization of categories, where the
problem is to convert a class of morphisms
called weak-equivalences into isomorphisms.
The goal of this course is to introduce the
basis of model categories and review some of
its applications, in particular in
connection to problems related to
Representation Theory of Algebras. The main
references are listed below.
References:
[Gil06] J. Gillespie The at model structure
on complexes of sheaves, Trans. Amer. Math.
Soc. 358 (2006),
no. 7, 28552874.
[Hov99] M. Hovey Model categories, Amer.
Math. Soc. Providence, RI, (1999).
[Hov02] M. Hovey Cotorsion pair, model
category structures, and representation
theory, Math. Zeit. 241
(2002),
553-592.
[Qui67] D. Quillen, Homotopical algebra,
Lecture Notes in Mathematics, No. 43,
Springer-Verlag, Berlin, 1967.
Lecturer: Payam Bahiraei
IPM-Isfahan Seminar Room
Time:
Thursday,
Khordad 18, 1395.
Sunday,
Khordad 30, 1395.
Thursday,
Tir 1, 1395.
Sunday,
Tir 20, 1395.
Thursday,
Tir 22, 1395.
Sunday,
mordad 3, 1395.
Thursday,
mordad 5, 1395.
Sunday,
mordad 17, 1395.
Thursday,
mordad 19, 1395.
Sunday,
mordad 24, 1395.
Thursday,
mordad 26, 1395.
Everyone is welcome to attend!
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