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Lagrangian fibrations by Jacobian and Prym surfaces
Algebraic Geometry and Number Theory| Speaker: | Justin Sawon, University of North Carolina |
| Related Webpage: | https://sawon.web.unc.edu/ |
| Location: | 3106 MSB |
| Start time: | Thu, Mar 5 2026, 11:00AM |
Description
In this talk we consider compact holomorphic symplectic manifolds (aka hyperkahler manifolds), particular those fibred by Lagrangian submanifolds. The general fibre must be an abelian variety. Focusing on dimension four, we will describe how to construct examples whose fibres are abelian surfaces that are Jacobians of genus two curves or Prym varieties of double covers of curves. We will also describe some classification results for these kinds of fibrations.