Thurston's "broken windows only theorem" and "bounded image theorem"
https://mp.weixin.qq.com/s/rD3Hn4hcI4fxcQWn6GFNbw
Ken' ichi Ohshika主讲周五现代数学报告
YMSC 清华大学丘成桐数学科学中心 2023-12-05 11:55 发表于北京
现代数学报告
Modern Mathematics Lecture Series
Time
Fri., 16:00-17:00
Dec. 8, 2023
Venue
Lecture Hall C548
Shuangqing Complex Building A
清华大学双清综合楼A座C548报告厅
Online
Tecent Meeting ID
908-3255-9891
/ 主讲人
Speaker /
图片
Ken' ichi Ohshika
Gakushuin University
Ken' ichi Ohshika is Professor at Gakushuin University and Professor Emeritus of Osaka University.
He received PhD from University of Tokyo in 1989, and worked at Tokyo Institute of Technology, University of Tokyo, and Osaka University before joining Gakushuin University. His interest includes Kleinian groups, hyperbolic geometry, Teichmüller theory, and 3-manifolds. He is a recipient of the MSJ geometry prize (2012).
/ 讲座简介
About the lecture /
“
Thurston's <<broken windows only theorem>> and <<bounded image theorem>>
Abstract
Both the broken windows only theorem and the bounded image theorem constitute important parts of Thurston’s original proof of the unifomisation theorem for Haken manifolds. According to his plan of proofs in a form of diagram, his proof for the bounded image theorem relies essentially on the broken windows only theorem, in particular its second statement. We show that this second statement has counter examples. Although we can fix it by weakening the result, this weak form cannot be used for the proof of the bounded image theorem.
Nevertheless we can prove that the bounded image theorem itself is valid, making use of recent tools of Kleinian group theorem.
The last part is joint work with Cyril Lecuire (ENS Lyon).
--
FROM 202.120.11.*