Tuesday Seminar on Topology

Seminar information archive ~02/25Next seminarFuture seminars 02/26~

Date, time & place Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya

2017/11/28

17:00-18:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Sang-hyun Kim (Seoul National University)
Diffeomorphism Groups of One-Manifolds (ENGLISH)
[ Abstract ]
Let a>=2 be a real number and k = [a]. We denote by Diff^a(S^1) the group of C^k diffeomorphisms such that the k--th derivatives are Hölder--continuous of exponent (a - k). For each real number a>=2, we prove that there exists a finitely generated group G < Diff^a(S^1) such that G admits no injective homomorphisms into Diff^b(S^1) for any b>a. This is joint work with Thomas Koberda.