Algebraic Geometry in String Theory Seminar: Moduli of boundary polarized Calabi-Yau pairs

SEMINARS, CMSA EVENTS

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October 16, 2023 10:00 am - 11:30 am
CMSA, 20 Garden St, G10
Address: 20 Garden Street, Cambridge, MA 02138
Speaker:

Dori Bejleri - CMSA

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.

Please note that there will be a pretalk by Rosie Shen (Harvard Math) from 10:00 am before the main talk at 10:30. The title of this pretalk is "Introduction to the singularities of the MMP."