Explore the intricacies of 3-manifold group ranks in this advanced mathematics lecture. Delve into the concept of group rank, focusing on its application to 3-manifold groups. Examine the relationship between rank and Heegaard genus, and investigate Abert-Nikolov's work connecting rank growth in cover towers to the "cost" of measured equivalence relations. Study Biringer and Souto's research on mapping tori ranks with large curve complex translation distances and geometric decompositions of thick hyperbolic 3-manifolds with bounded rank. Gain deep insights into this specialized area of topology and group theory through a comprehensive 54-minute presentation delivered at the Workshop on Groups around 3-Manifolds, hosted by the Centre de recherches mathématiques (CRM).
Overview
Syllabus
Ian Biringer: Rank of 3-manifold groups II
Taught by
Centre de recherches mathématiques - CRM
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