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Geometry of the Thurston norm

组织者

Veronica Pasquarella

演讲者

韩肖垄

时间

2024年12月25日 16:00 至 17:00

地点

SIMIS-1610

摘要

We start by giving some definitions, examples and motivations for Thurston norms. We then talk about the connection between Thurston norms, L2-norms and minimal surfaces. We use the Thurston norm and the geometry of the level sets of a circle-valued maps to give a lower bound of the Thurston norm in terms of the length of the closed geodesic. We then explore the transverse geometry of circle-valued maps, which relate the Thurston norm with geodesic laminations of best Lipschitz maps. As an application, we relate the geometry of a fibered hyperbolic 3-manifold and the pseudo-Anosov entropy.