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Kähler manifolds and groups

4:00 pm Thursday, November 13, 2014
Pierre Py (Université de Strasbourg)

In this talk I will recall the definition of a Kähler manifold, its link to algebraic geometry and then start discussing the topology of Kähler manifolds, in particular their fundamental groups. As opposed to the case of symplectic manifolds or complex manifolds, it is known that the groups that occur as fundamental groups of closed Kähler manifolds are very constrained. I will survey recent progresses on the problem of characterizing this class of groups. We will focus on three problems related to cohomology, topology at infinity and linear groups.

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