Calabi-Yau Manifolds Seminar - Thursday Nov. 12, 2026

Calabi-Yau Manifolds Seminar

Speaker: Kamryn Spinelli (Queen's University)

Title: Some results on the Galois realization problem

Abstract: Let V be a representation of a reductive group G. If Y is a subvariety of V with the Galois restriction property, then the GIT quotient map makes the function field C(Y) of Y into a Galois extension of the invariant field C(V)^G. Which Galois extensions of C(V)^G can be realized in this way? In this talk, we will summarize some recent results (both affirmative and negative) on this question, using both geometric and algebraic techniques. This is joint work in progress with Bong Lian.