K3 surfaces and twisted connected sum G2-manifolds

Johannes Nordstrom (University of Bath)

03-Mar-2022, 11:00-12:00 (2 years ago)

Abstract: The twisted connected sum construction of Kovalev produces many examples of closed Riemannian 7-manifolds with holonomy group G_2 (a special class of Ricci-flat manifolds), starting from complex algebraic geometry data like Fano 3-folds. If the pieces admit automorphisms, then adding an extra twist to the construction yields examples with a wider variety of topological features. I will outline the constructions, and describe how a good understanding of moduli of K3 surfaces appearing as anticanonical divisors in Fano 3-folds is used in a crucial way to match the pieces in the gluing procedure. This is joint work with Diarmuid Crowley and Sebastian Goette.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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