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Explore a comprehensive lecture on the Weierstrass representation of surfaces in three- and four-dimensional spaces, focusing on its connection to the Willmore functional. Discover how this representation is applied to construct a novel type of solution for the Davey-Stewartson II equation. Learn about solutions with regular initial data that develop one-point singularities at specific moments in time before extending to smooth solutions for the remaining duration. Access accompanying slides for visual support of the concepts presented in this 44-minute talk by Iskander Taimanov at the International Mathematical Union conference.
