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Geometrization and its Consequences in 3-Manifold Topology - Lecture 3

Centre de recherches mathématiques - CRM via YouTube

Overview

Explore the profound implications of Thurston's geometric perspective on 3-manifolds and Perelman's Geometrization Theorem in this advanced mathematics lecture. Delve into the fundamental role of hyperbolic geometry in addressing topological questions in three dimensions. Examine algorithmic and group-theoretic outcomes of Geometrization, including solutions to the homeomorphism problem and residual finiteness of fundamental groups in compact 3-manifolds. Witness practical demonstrations of discovering hyperbolic structures on 3-manifolds and their application in extensive computational experiments. This 55-minute talk, part of the Workshop on Groups around 3-Manifolds, offers a deep dive into cutting-edge research in 3-manifold topology and its far-reaching consequences.

Syllabus

Nathan Dunfield: Geometrization and its consequences III

Taught by

Centre de recherches mathématiques - CRM

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