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FIELD Mathematics
DATE April 17 (Tue), 2018
TIME 16:00-17:30
PLACE 1424
SPEAKER Sang-hyun Kim
HOST Kang, Nam-Gyu
INSTITUTE 서울대학교
TITLE Diffeomorphism groups of critical regularity
ABSTRACT

For each real number a=k+s>=1, where k=[a], we define Diff(R;a) as the group of compactly supported C^k--diffeomorphisms of the real line whose k-th derivatives are s-Hölder-continuous. We prove that there exists a finitely generated group G inside Diff(R;a) such that G admits no injective homomorphisms into the group U { Diff(R;b) : b > a }. The cases a=0 (Thurston; Calegari for S^1) and a=1 (Navas) are previously known. This is a joint work with Thomas Koberda.

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