Solitons for Calogero-Moser NLS and the prescribed $Q$-curvature problem

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Event details

Date 12.11.2021
Hour 14:15
Speaker Prof. Enno LENZMANN - University of Basel CH
Location
Category Conferences - Seminars
Event Language English

ABSTRACT: In this talk, we exploit a new link between solitons for Calogero-Moser type NLS and the prescribed $Q$-curvature problem in one space dimension. The later problem can be seen as the canonical one-dimensional analogue of Liouville’s equation for prescribing Gaussian curvarture of a surface. Inspired by features of complete integrability for Calogero-Moser NLS, we develop a general method to prove uniqueness results for the prescribed $Q$-curvature problem in one space dimension. This talk is based on joint work with Maria Ahrend (Basel).