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SUMMARY:Two derived equivalences for higher Auslander algebras of type A [
 Oberseminar Algebra und Darstellungstheorie]
DTSTART:20260903T141500Z
DTEND:20260903T151500Z
DTSTAMP:20260901T210800Z
UID:indico-event-1557@math-events.uni-bonn.de
DESCRIPTION:Speakers: Wei Xing (Uppsala University)\n\nGiven a positive in
 teger d\, a d-Auslander algebra A is characterized by the property that gl
 dim A <= d+1 <= domdim A. Iyama showed that such an algebra is always obta
 ined as the endomorphism algebra of a d-cluster tilting object in a module
  category. Starting from a linear A_n quiver\, Iyama constructed an infini
 te family of d-Auslander algebras A_n^{d+1} called higher Auslander algebr
 as of type A.\n\nIn this talk\, I will present a derived equivalence betwe
 en A_n^d and the incidence algebra of the poset of lattice paths in a d by
  n rectangle. Building on this combinatorial model for A_n^d\, we construc
 t a second derived equivalence between A_n^d and an nd-representation fini
 te algebra when n and d are coprime. As a consequence\, we show that the l
 attice of rational Dyck paths is fractionally Calabi-Yau.\n\nhttps://math-
 events.uni-bonn.de/event/1557/
LOCATION:Endenicher Allee 60/1-008-Seminarraum (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1557/
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