Geometry/topology Seminar
Monday, March 30, 2020, 3:15pm, Physics 119
Justin Sawon (UNC Chapel Hill, Mathematics)
Singular fibres of (holomorphic) Lagrangian fibrations

Abstract:

Compact holomorphic Lagrangian fibrations are higher-dimensional analogues of elliptic K3 surfaces. Their generic fibres are abelian varieties and singular fibres occur in complex codimension one. The structure of singular fibres in codimension one was studied by Matsushita (using toric degeneration) and by Hwang-Oguiso (using complex analytic techniques). A great deal more is known for elliptic K3 surfaces, and in this talk we consider what can be generalized to higher-dimensions.

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