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SUMMARY:Zhixin Xie - Primitive Enriques varieties
DTSTART:20260113T130000Z
DTEND:20260113T140000Z
DTSTAMP:20260425T131000Z
UID:indico-event-14905@indico.math.cnrs.fr
DESCRIPTION:The notion of an Enriques manifold was introduced by Oguiso-Sc
 hröer as a complex manifold which is not simply connected and whose unive
 rsal covering is an irreducible symplectic manifold. From the viewpoint of
  birational geometry\, we want to understand its behaviour under Minimal M
 odel Program (MMP) operations. Based on the result of Lehn-Pacienza showin
 g that any MMP starting from a primitive symplectic variety terminates\, i
 t is natural to introduce the singular analog of Enriques manifolds as fin
 ite quasi-étale quotients of primitive symplectic varieties by non-symple
 ctic group actions\, which are called primitive Enriques varieties. \nIn t
 his talk\, we will give examples of primitive Enriques varieties and outli
 ne some basic properties of them. We will then focus on their behaviour un
 der MMP and small deformations. In particular\, we will show that the clas
 s of primitive Enriques varieties is stable under MMP and that we have a l
 ocal Torelli theorem for such varieties. This talk is based on joint works
  with Francesco Denisi\, Ángel David Ríos Ortiz and Nikolaos Tsakanikas.
 \n\nhttps://indico.math.cnrs.fr/event/14905/
LOCATION:435 (UMPA)
URL:https://indico.math.cnrs.fr/event/14905/
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