Buu10307: Created page with "Abstract : Separable algebras are a generalization of étale algebras that can be defined in more general homotopical contexts, and have been studied in tensor-triangular geom..."

2023-05-18T17:25:39Z

Created page with "Abstract : Separable algebras are a generalization of étale algebras that can be defined in more general homotopical contexts, and have been studied in tensor-triangular geom..."

New page

Abstract : Separable algebras are a generalization of étale algebras that can be defined in more general homotopical contexts, and have been studied in tensor-triangular geometry, partly due to their nice properties in this context.
In this talk, I will attempt to explain some of these nice properties in tensor-triangulated categories, by showing that they come from surprising features of separable algebras in stable oo-categories, in particular showing that all separable up-to-homotopy algebras lift (almost) uniquely to homotopy coherent algebras. If time permits, I will also mention how the basics of the classical theory of separable algebras extend to homotopical algebra.

Separability in homotopical algebra - Revision history

Buu10307: Created page with "Abstract : Separable algebras are a generalization of étale algebras that can be defined in more general homotopical contexts, and have been studied in tensor-triangular geom..."