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Symplectic topology and rectangular peg problem

Zhen Gao (Universität Augsburg)

Monday, 2024-11-18 16:15

The rectangular peg problem, an extension of the square peg problem which has a long history, is easy to outline but challenging to prove through elementary methods. I will report the recent progress on the existence and multiplicity results, utilizing advanced concepts from symplectic topology, e.g. J-holomorphic curves and Floer theory.