The g-vector fan of tame algebras

Abstract: The $g$-vector fan of an algebra is a simplicial fan whose rays are the $g$-vectors of indecomposable rigid $2$-term complexes of projective modules. It appears naturally in many contexts, including tau-tilting theory, King's stability conditions and categorification of cluster algebras.

In this talk, we will see that the $g$-vector fan of a tame algebra has particularly nice properties. The talk will be a report on a joint work with Toshiya Yurikusa

combinatoricscategory theoryrings and algebrasrepresentation theory

Audience: researchers in the topic

( slides )

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Sherbrooke Meeting on Representation Theory of Algebras, Corona Edition (fully online)

Series comments: Please contact Thomas Brüstle or Juan Carlos Bustamante if you are interested to participate.

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