Abstract: Geometric ideas can help us understand and develop computational methods. In turn, numerical methods let us compute and visualize geometric objects. I will illustrate the fruitful interaction between these two fields with examples from mathematical neuroscience, numerical analysis, and mean curvature flow.

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Abstract: This is the first talk in the series with the goal of understanding recent results due to M. Brunella concerning Poincare metric on algebraic surfaces equipped with a singular holomorphic foliation.