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Critical Half-Wave Problems

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Critical Half-Wave Problems
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13
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23
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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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In this talk, I will a give a survey of recent results about the mass-critical nonlinear half-wave equation on the line. Furthermore, I will discuss work in progress on the energy-critical half-wave maps equation, which posesses some intriguing connections to completely integrabe spin chains and the theory of minimal surfaces