Jonathan Gruber "Cohomological stability for algebraic groups via Frobenius kernels"

The Frobenius kernels of a reductive algebraic group form an ascending sequence of finite normal subgroup schemes, and a natural question is how much information about a representation of the group can be recovered from its restrictions to the Frobenius kernels. In this talk, I will discuss how the cohomology groups of a representation of the reductive group can be computed from the cohomology groups over any sufficiently large Frobenius kernel, by taking fixed points. This is joint work with Daniel K. Nakano.