[17.11.23] Dynamics on Surfaces
- 홍미혜
- 조회수2327
- 2017-11-14
Dynamics on Surfaces
▣ 연 사 : 백형렬 (KAIST 수리과학과)
▣ 일 시 : 2017년 11월 23일(목) 4:30 - 5:30
▣ 장 소 : 31351A호 (수학과 대학원 세미나실)
▣ 대 상 : 수학과 학부생 및 대학원생
▣ 다 과 : 4시 20분부터
Abstract
Thurston classified surface homeomorphisms up to isotopy. Most surface homeomorphisms are so-called pseudo-Anosov. For each pseudo-Anosov homeomorphism, there is an associated number called the stretch factor which tells us how the iterations of the homeomorphism changes the length of simple closed curves on the surface (with respect to an arbitrary metric of constant curvature). We try to find a number-theoretic characterization of these numbers, and discuss the difficulty of the problem and recent partial results. This talk partially represents joint work with A. Rafiqu and C. Wu.