Generic tau-tilting types

In this talk, we propose notions of generically tame and generically wild τ-tilting types of finite-dimensional algebras. We show a trichotomy into finite, generically tame and generically wild τ-tilting type for algebras associated to symmetrisable generalised Cartan matrices. These algebras were introduced by Geiß-Leclerc-Schröer and are degenerations of hereditary algebras; but  they are often of wild representation type even if the corresponding  Cartan matrix is of finite or affine type.

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