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Differential Geometry Seminar: Boundedness problems in algebraic geometry and their consequences

In 1960’s Shafarevich asked a simple question: Do families of curves of genus at least 2 (over a fixed base) have finite number of deformation classes?

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Differential Geometry Seminar: Generalised Einstein metrics on Lie groups

The generalised Einstein condition is the analogue of Ricci flatness in the context of generalised geometry. It appears naturally as one of the equations of motion of certain supergravity theories, and it involves not only a metric but also a closed 3-form and a divergence operator on our manifold.

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