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We reviewed recent advances in the study of fundamental groups of compact Kähler manifolds, involving an interesting mix of complex geometry, harmonic maps and non-Abelian Hodge theory, and geometric group theory. There were also extensive discussions of open problems in the area.
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Dieter Kotschick, Domingo Toledo, Mini-Workshop: Kähler Groups. Oberwolfach Rep. 11 (2014), no. 1, pp. 531–553DOI 10.4171/OWR/2014/09