Infinitesimal semi-invariant pictures

Abstract: Semi-invariant pictures (or wall and chamber structures) arise naturally when considering stability conditions for finite dimensional algebras. For algebras which are not tau-tilting finite, these semi-invariant pictures contain accumulation points. In this talk, we describe a new semi-invariant picture which captures the local structure near such an accumulation point. For tame hereditary algebras, we further show that this new semi-invariant picture can be described (both geometrically and via tau-tilting theory) from those of certain Nakayama algebras. This is joint work with Kiyoshi Igusa, Moses Kim, and Gordana Todorov.

combinatoricscategory theoryrepresentation theory

Audience: researchers in the topic

( slides )

The TRAC Seminar - Théorie de Représentations et ses Applications et Connections