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Seminar

Triangular and tropical properties of dual canonical bases of quantum cluster algebras November 20, 2012 (02:00PM PST - 03:00PM PST)
Location: MSRI: Simons Auditorium
Speaker(s) Fan Qin
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Assume that a quantum cluster algebra admits a monoidal categorification by quantum affine algebras or quantum unipotent subgroups of simply-laced type.
We show that, for any chosen cluster, the dual canonical basis is a triangular basis with respect to certain linearly independent set, and the basis elements are naturally parametrized by the extended g-vectors.

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