Moduli of boundary polarized Calabi-Yau pairs

10/16/2023 10:00 am - 11:30 am
CMSA Room G10
Address: CMSA, 20 Garden Street, Cambridge, MA 02138 USA

Algebraic Geometry in String Theory Seminar

Pre-talk Speaker: Rosie Shen (Harvard): 10:00-10:30 am

Pre-talk Title: Introduction to the singularities of the MMP

Speaker: Dori Bejleri (Harvard Math & CMSA)

Title: Moduli of boundary polarized Calabi-Yau pairs

Abstract: The theories of KSBA stability and K-stability furnish compact moduli spaces of general type pairs and Fano pairs respectively. However, much less is known about the moduli theory of Calabi-Yau pairs. In this talk I will present an approach to constructing a moduli space of Calabi-Yau pairs which should interpolate between KSBA and K-stable moduli via wall-crossing.  I will explain how this approach can be used to construct projective moduli spaces of plane curve pairs. This is based on joint work with K. Ascher, H. Blum, K. DeVleming, G. Inchiostro, Y. Liu, X. Wang.