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Bongartz Completion Via C-Vectors

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CARW03 - Interdisciplinary applications of cluster algebras

In this talk, we will describe the Bongartz completion in tau-tilting theory using c-vectors. Based on this description, we define Bongartz completion in cluster algebras using c-vectors, then we compare it with the completion defined using g-vectors by Cao-Li. Using the Bongartz completion in cluster algebras, we give the so-called cluster reduction, which is analogous to Jasso’s tau-tilting reduction in tau-tilting theory. This is a joint work with Yasuaki Gyoda and Toshiya Yurikusa.

This talk is part of the Isaac Newton Institute Seminar Series series.

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