Back to Algebraic Geometry Seminar: Fall 2023
Algebraic Geometry Seminar
Date: Tuesday, Nov 21, 2023
Time: 3:30PM - 4:30PM
Location: LCB 323
Virtual
Liana Heuberger
University of Bath
Title |
Applications of Laurent inversion to K-moduli |
Abstract |
I will discuss how to use Laurent inversion, a technique coming from mirror symmetry which constructs toric embeddings, to study the local structure of the K-moduli space of a K-polystable toric Fano variety. More specifically, starting from a given toric Fano 3-fold X of anticanonical volume 28 and Picard rank 4, and combining a local study of its singularities with the global deformation provided by Laurent inversion, we are able to conclude that the K-moduli space is rational around X. This is joint work with Andrea Petracci. |
Algebraic Geometry