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Translation surfaces and their orbit closures: an introduction for a broad audience - MaRDI portal

Translation surfaces and their orbit closures: an introduction for a broad audience (Q2352768)

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Translation surfaces and their orbit closures: an introduction for a broad audience
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    Translation surfaces and their orbit closures: an introduction for a broad audience (English)
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    6 July 2015
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    This is an excellent survey and snapshot of the extremely active field of renormalization (i.e., \(\mathrm{GL}(2, \mathbb R)\)) dynamics on the space of translation surfaces. It gives clear motivating examples, elucidates connections to homogenous dynamics, algebraic geometry, and gives a clear introduction to the exciting new developments in the field.
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    translation surface
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    Teichmüller dynamics
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    abelian differential
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    Riemann surface
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    moduli space
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