Taut foliations of 3-manifolds with Heegaard genus two

• 主讲人：Tao Li (Boston College)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2022-11-10 21:00 - 2022-11-10 22:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/8F9C3126AFDD066C5842C7AB0185D10B
Valid Until: 2026-12-31 23:59

 

Abstract: Let M be a closed, orientable, and irreducible 3-manifold with Heegaard genus two. We prove that if the fundamental group of M is left-orderable then M admits a co-orientable taut foliation. This verifies part of the L-space Conjecture.

 

Bio: Tao Li is a professor at the Department of Mathematics at Boston College. He specializes in low-dimensional geometry and topology. He obtained his PhD in 2000 from Caltech. After a Bing Instructor at the University of Texas at Austin, he went to Oklahoma State University before moving to Boston. He was awarded twice the Simons Fellowship in 2015 and 2022 and was elected as a Fellow of the American Mathematical Society in 2016.  He was an invited speaker at the 2014 ICM in Seoul.