“From cluster tilting to homotopical algebra”

speaker: Yann Palu (Université de Picardie)

abstract: Motivated by the theory of cluster algebras, Buan-MarshReiten proved that some quotients of cluster categories are module categories. More generally, some subquotients (associated with rigid objects) of Hom-finite triangulated categories have been shown to be module categories. In their paper entitled “From triangulated categories to module categories via localisation”, Aslak Buan and Robert Marsh proved that these module categories can also be recovered as certain localisations of the triangulated categories under consideration. Our aim in this talk is to give a homotopical algebra point of view on their result.

timetable:
Mon 2 Feb, 17:00 - 17:40, Aula Dini
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