Stable Maps to Quotient Stacks and KSBA-Compactifications of Surfaces Fibered in Log Calabi-Yau Pairs
Time: 2025-10-21
Published By: Meng Yu
Speaker(s): Giovanni Inchiostro (University of Washington)
Time: 15:00-16:15 October 23, 2025
Venue: Room 77201, Jingchunyuan 78, BICMR
Abstract: I will present a compactification of the moduli space of maps from families of curves, to certain moduli spaces M, via the example of M being the GIT moduli space of binary forms of degree 2n. One application of our results is the construction of certain moduli of surfaces and threefolds fibered log Calabi-Yau pairs. I will then explain how to use these moduli spaces to study the boundary of certain KSBA-moduli spaces of surfaces fibered in log Calabi-Yau pairs. This is based on a joint work with Andrea Di Lorenzo, and a joint work with Roberto Svaldi and Junyan Zhao.
