Asymptotic representation theory over $\mathbb Z$

 Mathematical Conversations Topic: Asymptotic representation theory over $\mathbb Z$ Speaker: Thomas Church Affiliation: Stanford University; Member, School of Mathematics Date: Friday, November 4 Time/Room: 6:00pm - 7:00pm/Dilworth Room

Representation theory over $\mathbb Z$ is famously intractable, but "representation stability" provides a way to get around these difficulties, at least asymptotically, by enlarging our groups until they behave more like commutative rings. I'll describe these rings, work out some concrete computations that Hilbert and Noether would have liked, and describe a few of their applications in topology and number theory.