Geometry Seminar

On the Donaldson-Scaduto conjecture

Saman Habibi Esfahani (Duke University)

Friday, April 19th, 2024
11:00 AM - 12:00 PM
Hylan 203 + Zoom: https://rochester.zoom.us/j/98580630084

Donaldson proposed a new method to study manifolds with special holonomy groups, particularly Calabi-Yau 3-folds and G2-manifolds, utilizing a Lefschetz fibration. Motivated by collapsing G2-manifolds with K3 fibrations in the adiabatic setting, Donaldson and Scaduto formulated a structural conjecture about special Lagrangians in Calabi-Yau 3-folds with K3 fibrations. After a brief introduction to the subject, we discuss the significance of this conjecture in the study of Calabi-Yau 3-folds and G2-manifolds. Finally, we present a proof of the local version of the Donaldson-Scaduto conjecture. If time permits, I will also mention the first steps towards proving the global version of the conjecture. This is based on a paper joint with Yang Li.

Event contact: shozoori at ur dot rochester dot edu