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Apr 8 2024

Analysis and Applied Mathematics Seminar: KAM via standard fixed point theorems, by Chengyang Shao

April 8, 2024

4:00 PM - 4:50 PM


636 SEO


Chicago, IL

Chengyang Shao (University of Chicago): KAM via standard fixed point theorems

In this talk, we aim to introduce a new method to solve conjugacy problems involving 'small denominators┬ĺ. Traditional proofs addressing the regularity loss caused by these 'small denominators' have heavily relied on Newtonian / Nash-Moser iterations. We aim to show that the regularity loss can be compensated by composing with appropriate para-differential operators, enabling a proof using only standard fixed-point schemes. This para-differential approach can be applied to study KAM-type problems, avoiding the commonly used 'KAM iterations.' The talk is based on joint works with Thomas Alazard.

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Christof Sparber

Date posted

Apr 15, 2024

Date updated

Apr 15, 2024