Sibylle Schroll (Leicester), On algebras and varieties-

Abstract:

In this talk, on joint work with Ed Green and Lutz Hille, we will introduce new affine algebraic varieties whose points correspond to algebras given by quiver and relations. Each variety has a distinguished point corresponding to a monomial algebra. We will show how properties of this monomial algebra control properties of all the algebras in a variety. We will end with an application to quasihereditary algebras and give a criterion for a monomial algebra to be quasihereditary.