Geometry Seminar

Date: April 11, 2025

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: K. Ganapathy, UCSD

Title: Non-noetherianity of GL-varieties

Abstract: GL-varieties are infinite-dimensional varieties equipped with an action of the infinite general linear group GL, satisfying certain mildness conditions. Draisma proved that the topology of GL-varieties exhibits a striking noetherian property. However, whether a scheme-theoretic analogue of this property holds remains a longstanding open question. In this talk, I will present the first counterexample to this problem over fields of characteristic two. This counterexample is closely connected to recent work aimed at salvaging Weyl's theorem on polarization in positive characteristics, which I will also discuss.