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2024.12.16

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»ã±¨±êÌâ (Title)£ºÏàÈݵÄÈõ·Ö»¯ÏµÍ³ºÍƽչģÐͽṹ

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»ã±¨¹¦·ò (Time)£º2024Äê12ÔÂ19ÈÕ(ÖÜËÄ) 10:00¨C11:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

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»ã±¨ÌáÒª£ºIn the first part of this talk, we introduce the concept of compatible weak factorization systems in general categories as a counterpart of compatible complete cotorsion pairs in abelian categories. We then describe a method to construct model structures on general categories via two compatible weak factorization systems satisfying certain conditions, and hence, generalize a very useful result by Gillespie for abelian model structures. In the second part of this talk, we construct a flat model structure on the category of additive functors from a preadditive category satisfying certain conditions to the module category, whose homotopy category is the Q-shaped derived category introduced by Holm and Jorgensen.

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