Date | 2021-09-07 |
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Speaker | 김경로 |
Dept. | 서울대학교 |
Room | 129-101 |
Time | 16:00-16:30 |
https://snu-ac-kr.zoom.us/j/2473239867
When we study 3-manifolds, we can think of 3-manifolds as unions of disjoint collections of 2-manifolds. Such structures are called foliations. Each 2-manifold in foliations is called a leaf. The configuration of leaves gives a 1-dimensional manifold which contains the transversal information. By Thurston and Calegari-Dunfield, it was shown that any fundamental group of an atoroidal 3-manifold with taut foliation acts on a circle, so-called a universal circle, by orientation preserving homeomorphisms. From the proof, we may observe that the universal circle actions preserve pairs of laminations of the circle. In this talk, I introduce the study of laminar groups which is a subgroup of orientation preserving circle homeomorphisms, preserving circle laminations.