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2020年7月3日(金) 15:00~16:30
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百合草寿哉氏(東北大学 理学研究科)
Tame algebras have dense g-vector fans
The g-vector fan of a finite-dimensional algebra is a fan whose rays are the g-vectors of its 2-term presilting objects. We prove that the g-vector fan of a tame algebra is dense. Moreover, we apply this result to obtain a near classification of quivers for which the cluster g-vector fan is dense, using the additive categorification of cluster algebras by Jacobian algebras. This talk is based on a joint work with Pierre-Guy Plamondon.