Tuesday, October 23, 14:00, 7.527

Changchang Xi (Capital Normal University, Beijing), Derived equivalences from quiver operations.

Abstract:
Given an algebra presented by a quiver with relations, we will introduce three operations on the quiver, called gluing vertices, identifying longest paths and unifying arrows. Applying those operations on derived equivalent algebras presented by quivers with relations, we can construct new derived equivalences of the resulting algebras. We will illustrate this by examples.