Somayeh Sadeghi, IPM Isfahan

Title:  Extending $\tau$-tilting subcategories and (co)silting modules

Abstract:   A $\tau$-tilting subcategory of an abelian category is an additive contravariantly finite full subcategory satisfying certain conditions. In this talk, first, we study the connection between silting, resp. cosilting modules in Mod R with the $\tau$-tilting resp. $\tau^{-1}$-tilting subcategories, where $R$ is a unitary associative ring. Second, we investigate the behavior of support $\tau$-tilting subcategories,  finendo quasi tilting modules, silting modules, and cosilting modules over one-point extensions by a projective module.

This talk is based on the joint work with J. Asadollahi and H. Treffinger and joint work with J. Asadollahi, F. Padashnik, and H. Treffinger.