YMSC Topology Seminar | Generic 3-manifolds are hyperbolic

Time：2023-12-5, Tuesday 16:00-17:00

Venue：C654, Shuangqing Complex Building Zoom meeting ID: 405 416 0815 Pw: 111111

Organizer：陈伟彦、高鸿灏、黄意、江怡、林剑锋

Speaker：Wenyuan YANG 杨文元 BICMR, Peking University

Abstract：

In this talk, we first introduce various models to study what a generic 3-manifold looks like. We then focus on the Heegaard splitting model of 3-manifolds, equipped with geometric complexity using Teichmuller metric. The main result is that the Hempel distance of a generic Heegaard splitting goes linearly to the infinity. In particular, generic 3-manifolds are hyperbolic in this model. This represents the joint work with Suzhen Han and Yanqing Zou.

DATEDecember 5, 2023

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