Decision problems
Introductory Workshop: Geometric Group Theory August 22, 2016 - August 26, 2016
Location: SLMath: Eisenbud Auditorium
geometric group theory
hyperbolic group
algorithms on presentations
algorithms in group theory
uncomputable problems
word problem
recursive enumerability
20Jxx - Connections of group theory with homological algebra and category theory
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
14598
The (non)existence and complexity of algorithms has been a central theme in combinatorial and, later, geometric group theory since their inception, with low dimensional topology providing both motivation and a significant field of application. In this talk I will review some of the milestones in the development of decision problems in group theory, highlighting the geometry behind them. I shall then survey the current state of the art, with an emphasis on applications to geometry and topology and including decision problems for profinite groups
Bridson Notes
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14598
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14598.mp4
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