Kamyrn Spinelli (Queen's University)

Calabi-Yau Manifolds Seminar

Speaker: Kamryn Spinelli (Queen's University)

Title: Transcendental Weil restriction

Abstract: Similarly to how one can view an n-dimensional complex manifold as a 2n-dimensional real manifold, Weil restriction is a recipe for viewing a variety over a field E as a variety over a field F, as long as E/F is a finite extension. However, there are instances in which one would like to perform an analogous construction in the case where E/F is infinite and possible transcendental. In this talk, we will give a technical recipe to compute this transcendental Weil restriction using techniques involving the scheme-theoretic image. We will then give some examples of applications to understanding families of varieties with invariant-theoretic significance. This is joint work in progress with Bong Lian.