Division, Group Rings, and Negative Curvature in Low-Dimensional Topology
Offered By: Centre de recherches mathématiques - CRM via YouTube
Course Description
Overview
Explore a 54-minute lecture on division algorithms, group rings, and negative curvature in low-dimensional topology. Delve into the fundamental problem of understanding 2-complexes with a given fundamental group G. Learn how this challenge can be approached using a division algorithm in the group ring of G, and discover the conditions under which such an algorithm becomes available. Examine additional applications, including methods for establishing lower bounds on the complexity of cell-decompositions in hyperbolic manifolds. This talk, part of the Workshop on Groups around 3-Manifolds, offers valuable insights into the intersection of algebra, topology, and geometry.
Syllabus
Grigori Avramidi: Division, group rings, and negative curvature.
Taught by
Centre de recherches mathématiques - CRM
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