Surface subgroups
Introductory Workshop: Geometric Group Theory August 22, 2016 - August 26, 2016
Location: MSRI: Simons Auditorium
geometric group theory
hyperbolic group
word hyperbolic
word problem
surface group
virtual Haken conjecture
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
57M05 - Fundamental group, presentations, free differential calculus
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
14596
A surface group is the fundamental group of a closed surface of non-positive Euler characteristic. A great deal of recent energy in geometric group theory has focussed on finding surface subgroups in various classes of groups of geometrical interest, especially word-hyperbolic groups. I will survey recent developments, highlights of which include Kahn—Markovic’s solution of the Surface Subgroup conjecture for Kleinian groups and Calegari—Walker’s discovery of surface subgroups in random groups
Wilton Notes
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14596
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