Abstract: Many of us have heard that Heisenberg’s uncertainty principle says there is a limit to the precision with which we can simultaneously know both the position and the speed of a subatomic particle. There are various precise mathematical statements that capture this idea, and in this talk we will mostly concentrate on finite-dimensional versions of the uncertainty principle which only require undergraduate linear algebra (but already illustrate the general ideas very well). The presentation will be inspired by a recent approach to uncertainty principles due to Wigderson and Wigderson.