Universes of evenly curved surfaces


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February 17, 2021 4:30 pm - 5:30 pm
via Zoom Video Conferencing

Alex Wright - Michigan

We will begin by discussing hyperbolic geometry, and how it can be used to build "evenly curved" metrics on a donut with one point removed. We will then discuss Maryam Mirzakhani's computation of the "size" of the universe of all such metrics (the Weil-Petersson volume of the moduli space of complete hyperbolic metrics on a punctured torus)

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