The Banff International Research Station will host the "Groups and Geometries" workshop in Banff from August 25, 2019 to August 30, 2019.
Group theory is an abstract subject, but it is also the mathematical way to investigate symmetry. Thus many problems from various areas of mathematics which involve some sort of symmetry are susceptible to the application of group theory. In this proposal we plan to cover three main areas: the abstract structure of finite groups; some geometrical aspects of group theory; and several recent applications of group theory to other areas of mathematics.