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SUMMARY:Fan Qin (Shanghai Jiao Tong University)
DTSTART:20200922T150000Z
DTEND:20200922T160000Z
DTSTAMP:20260423T035415Z
UID:OCAS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/4/">Dua
 l canonical bases and triangular bases of quantum cluster algebras</a>\nby
  Fan Qin (Shanghai Jiao Tong University) as part of Online Cluster Algebra
  Seminar (OCAS)\n\n\nAbstract\nOne of the main motivations for cluster alg
 ebras was to create a combinatorial framework to study the dual canonical 
 bases. Correspondingly\, it has been long expected that the quantum cluste
 r monomials (certain monomials of generators) belong to the dual canonical
  bases (of quantum unipotent subgroups) up to scalar multiples. We discuss
  how to use the triangular bases to show this conjecture in full generalit
 y. Moreover\, we show that the (double) triangular bases verify an analog 
 of Leclerc’s conjecture for dual canonical bases.\n
LOCATION:https://researchseminars.org/talk/OCAS/4/
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