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Enriques surfaces are special free quotients of K3 surfaces, i.e. these are the quotients of a K3 surface by a fixed point free involution. In higher dimension the notion can be generalized and one can introduce Enriques manifolds which share several properties with Enriques surfaces.
In the first part of the talk I will discuss the existing definitions introduced by several authors and construct exemples as quotients of irreducible holomorphic symplectic manifolds and Calabi--Yau manifolds. In the second part I will discuss several recent results and I will then extend the notion of Enriques manifold to the singular setting, generalizing the notion of Log Enriques surface introduced by Oguiso and Zhang.
Chairman : DongSeon Hwang