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Calabi-Yau Manifolds Seminar

Speaker: Kamryn Spinelli (³ÉÈË´óƬ)

Title: Lifting period integrals with the Galois restriction property

Abstract: In this talk, we will prove three lemmas in the setting of the Galois restriction property which interpolate between the algebraic and analytic categories. In addition to being useful for period integral problems, these lemmas improve upon a well-known theorem of Luna regarding G-invariant analytic functions. We will show that these results recover our earlier period integral formula for CY double covers of P^n, and use them to prove a novel invariant-theoretic period integral formula for CY hypersurfaces in P^2. This is joint work with Bong Lian.