Details of talk
|Title||Recollement of Colimit Categories and Its Applications|
|Presenter||Ju Huang (Fujian Normal University)|
|Author(s)||Dr Ju Huang, Pro Qinghua Chen|
This talk gives a recollement of cocomplete abelian categories and its colimit categories by constructing six functors, obtains the $K_i$ groups of cocomplete abelian categories are summands of their colimit categories. Further, by applying the main theorem, we get some results about Leavitt path algebras, derived equivalence and $K_i$ groups.