G-Vectors from C-Vectors

David Murphy

Friday 6th December, 2019 14:00-15:00 Maths 311B

Abstract

In a recent paper, Brüstle, Smith and Treffinger showed that the wall and chamber structure of a quiver can be built using the tau-tilting pairs and almost tau-tilting pairs induced by the module category over the quiver. This, in turn, allows us in certain cases to find the c-vectors from the g-vectors associated to this module category. In this work, supervised by H. Treffinger, we attempt to reverse this process over A_n-type quivers, i.e, given the c-vectors, can we find all over the associated g-vectors?

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