Recognizing 3-manifold groups by their finite quotients
Introductory Workshop: Geometric Group Theory August 22, 2016 - August 26, 2016
Location: SLMath: Eisenbud Auditorium
geometric group theory
low-dimensional topology
fundamental groups
finitely generated subgroups
finite index subgroups
finite-sheeted covers
quadratic forms
Baumslag-Solitar group
surface group
20Jxx - Connections of group theory with homological algebra and category theory
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
54B40 - Presheaves and sheaves in general topology [See also 18F20]
54B30 - Categorical methods in general topology [See also 18F60]
54C35 - Function spaces in general topology [See also 46Exx, 58D15]
14595
This talk will be focused on the problem of: to what extent can the fundamental groups of compact 3-manifolds be distinguished by the finite quotients of their fundamental groups.
The talk will highlight examples (e.g. the figure eight knot complement) and introduce ideas and techniques used in attacking the problem
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14595
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