For various natural sequences of groups, such as the general linear groups GLn or symmetric groups Sn, certain aspects of their representation theory act the same for all sufficiently large n. A classic example of this is Schur-Weyl duality, which gives a uniform description of degree d representations of GLn, provided n is at least d. I will discuss this and other examples of stability phenomena in representation theory, and how this sort of stabilization manifests itself in other areas of mathematics.
This video is part of the University of Georgia‘s Algebra seminar.
