The asymmetry properties of a quantum state specify how and to what extent a given symmetry is broken by the state.If implementing symmetric dynamics is easy while implementing dynamics that break the symmetry is hard or impossible,then asymmetry becomes a resource (analogous to the resource of entanglement).The resource theory of quantum asymmetry is important for the field of quantum metrology because synchronizing clocks and aligning gyroscopes is a problem of distributing information about a group and the measure of how well a state can achieve such an alignment is a measure of its asymmetry.It is also significant for understanding the consequences of symmetric dynamics.For physical problems where one does not know all the details of the dynamics or one cannot solve it exactly,measures of the asymmetry of a state provide new constraints on the possible state evolutions,constraints that are often independent from those imposed by Noethers theorem.This talk will provide an overview of the main results in the resource theory of asymmetry and will highlight some of the important open questions.Joint work with Iman Marvian.