Interpolation Categories for Finite Linear Groups

Explore representation stability for complex representations of finite linear groups in this 50-minute lecture presented by Thorsten Heidersdorf from Newcastle University Mathematical Institute. Delve into various approaches, including VI-modules, modules over GL_∞(F_q), and interpolation categories Rep GL_t(F_q) for complex number t in Deligne's sense. Focus primarily on interpolation categories and their applications in studying representation stability. Gain insights from joint work with Inna Entova-Aizenbud, presented as part of IPAM's Symmetric Tensor Categories and Representation Theory Workshop at UCLA on January 10, 2024.