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#3-Manifold Groups

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Isaac Newton Institute for Mathematical Sciences

Left-orderability and 3-manifold Groups - Rothschild Lecture

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Explore the connection between left-invariant total order in fundamental groups and geometric/analytic properties of 3-manifolds in this advanced topology lecture.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Detecting 3-Manifold Groups Among Circularly Ordered Groups

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Explore techniques for identifying 3-manifold groups within circularly ordered groups, focusing on mathematical detection methods and group theory applications.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Rank of 3-Manifold Groups - Lecture 3

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Explore 3-manifold group ranks, covering Heegaard genus, Abert-Nikolov's work on rank growth, and geometric decompositions of hyperbolic 3-manifolds with bounded rank.
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1 Lesons
51 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Rank of 3-Manifold Groups - Lecture 2

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Explore 3-manifold group ranks, covering Heegaard genus, Abert-Nikolov's work on rank growth, and geometric decompositions of hyperbolic 3-manifolds with bounded rank.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

3-Manifold Groups and the Cannon Conjecture - Part I

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Explorez les conditions conjecturales impliquant qu'un groupe est le groupe fondamental d'une 3-variété compacte. Examinez la conjecture de Cannon et ses variantes, ainsi que leurs connexions et critères.
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1 Lesons
56 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Ascending Chains of Free Groups in 3-Manifold Groups

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Explore ascending chains of free groups in 3-manifold groups, examining proofs and techniques involving hyperbolic geometry, geometrization, and JSJ decompositions.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

3-Manifold Groups and Fundamental Group Conjectures - Part II

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Explorez les conditions conjecturales impliquant qu'un groupe est le groupe fondamental d'une 3-variété compacte, en examinant les conjectures de Cannon et Wall et leurs interconnexions.
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1 Lesons
56 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Profinite Rigidity, Triangle Groups, and Seifert Fibred Spaces

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Explore profinite rigidity in 3-manifold groups, examining unique determination by finite images and distinctions between finitely presented and generated groups.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

3-Manifold Groups and Fundamental Group Conjectures - Lecture 3

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Explorez les conditions conjecturales impliquant qu'un groupe est le groupe fondamental d'une 3-variété compacte, en examinant les conjectures de Cannon et Wall ainsi que leurs interconnexions.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

Low Dimensional Topology and Circle-valued Morse Functions

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Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video