Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	韩素珍博士, 湖南大学
Inviter:	叶文杰
Title:	Random 3-manifolds are hyperbolic
Language:	Chinese
Time & Venue:	2024.04.05 09:00-10:00 南楼N533
Abstract:	In this talk, we consider the mapping class group acts on the Teichmuller space with Teichmuller metric, and noticing a closed 3-manifold always has a Heegaard splitting which is determined by the gluing mapping class, we establish a geometric complexity on the 3-manifolds with a Heegaard splitting of fixed genus by studying an orbit of the mapping class group. We show that random 3-manifolds are hyperbolic with respect to the geometric complexity. This is a joint work with Wenyuan Yang and Yanqing Zou.