Sophie Kriz, University of Michigan - Some Computations on FI-Modules

Explore a 55-minute lecture on FI-modules presented by Sophie Kriz from the University of Michigan at the University of Miami. Delve into the world of representation stability as introduced by Church, Ellenberg, and Farb, examining its applications in various mathematical areas such as the cohomology of moduli spaces of pointed curves, configuration spaces, and Torelli groups. Learn about recent developments in FI-modules in positive and mixed characteristic, including local cohomology computations. Discover examples of simple generic FI-modules in positive characteristic that contain only reducible representations in high degrees, addressing a problem posed by R. Nagpal. Gain insights into this advanced mathematical topic and its implications for understanding complex algebraic structures.