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Quantization of Benjamin-Ono periodic traveling waves

Fall 2021
Alexander Moll (UMass Boston)

The Benjamin-Ono equation is a model for a variety of classical fluid interfaces in two spatial dimensions.  In addition, the “quantization” of this model is conjectured to describe such interfaces at scales in which quantum effects must be taken into account.  In this talk, we review the essentials of the mathematical procedure of quantization (from a probabilistic point of view and without any path integrals) and present recent results on the quantization of Benjamin-Ono periodic traveling waves.