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Integrability on sea-slugs

Mathematical Physics and Probability Seminar

Integrability on sea-slugs
Series: Mathematical Physics and Probability Seminar
Location: ONLINE
Presenter: Shankar Venkataramani, University of Arizona

I will talk about integrable equations that arise in the study of soft/slender elastic objects with negative Gaussian curvature. I will discuss a  "topological" defect that is supported by $C^{1,1}$ solutions of hyperbolic Monge-ampere equations and is an obstruction to smoothing. I will then make connections with discrete integrable systems defined on quadgraphs and then conclude with a discussion of connections to other problems in math physics. This is joint work with Toby Shearman and Ken Yamamoto.