Speaker: Xiaolong Hans Han (SIMIS)
Abstract: 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.
Time: 4 pm, Wednesday, 25th December, 2024
Location: Room 1610 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
English 
简体中文