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Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

한국고등과학원 세미나
Title On the Slow Progress Lemma
Date 2018-11-01
Speaker Sang-hyun Kim(서울대학교)
Sponsors 2018-11-01
Host KIAS
Place 1424
Abstract I would like to discuss a triangle of ideas in one-dimensional manifold diffeomorphism groups, which consist of analysis, dynamics and group theory. I will first state and prove the Slow Progress Lemma, which justifies a meta-statement “smoother diffeomorphisms are slower”. This lemma connects analysis to dynamics. Then I will illustrate how to justify another statement “slower representations have larger kernels”, connecting dynamics to group theory. Joint work with Thomas Koberda.