<\/p>\n
Place: Room 614 in the Education & Sciences Building<\/p>\n
Time: 14:00<\/strong><\/p>\n <\/p>\n Abstract<\/u><\/strong>:<\/u><\/strong><\/p>\n <\/p>\n Being fractionally Calabi-Yau is a periodicity property of triangulated categories introduced by Kontsevich more than 20 years ago. It is quite rare that a finite-dimensional algebra has derived category of modules which is fractionally Calabi-Yau, nevertheless it is conjectured that for many posets (partially ordered sets) arising in algebraic combinatorics, their incidence algebras do have this property.<\/p>\n Viewing posets as finite topological spaces, one can speak on their stratifications. I will explain how certain stratifications give rise to derived equivalences between the incidence algebra of a given poset and other algebras which are quotients of incidence algebras.<\/p>\n <\/p>\n We use this result to establish the fractionally Calabi-Yau property for a large family of posets of partitions. In addition, we achieve significant progress towards proving a conjecture of Chapoton concerning the equivalences of the derived categories of posets of Dyck paths and the Tamari lattices.<\/p>\n <\/p>\n Joint work with F. Chapoton and B. Rognerud.<\/p>\n <\/p>\n Tea will be served before the talk (at 13:50<\/strong>).<\/p>\n <\/p>\n <\/p>\n","protected":false},"excerpt":{"rendered":" Place: Room 614 in the Education & Sciences Building Time: 14:00 Abstract: Being fractionally Calabi-Yau is a periodicity property of triangulated categories introduced by Kontsevich more than 20 years ago. It is quite rare that a finite-dimensional algebra has…
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