ΕΚΔΗΛΩΣΕΙΣ

ΓΕΝΙΚΟ ΣΕΜΙΝΑΡΙΟ - CLASSIFICATION THEORY AND CERTAIN SINGULAR CALABI-YAU VARIETIES

Ημερομηνία: Πέμπτη 7/4/2026

Ώρα: 13:00 - 14:00

Αίθουσα: Γ31

Ομιλητής:Nikolaos Tsakanikas (EPFL)

Title: Classification theory and certain singular Calabi-Yau varieties

Abstract: The Minimal Model Program (MMP) plays a fundamental role in the classification theory of complex projective varieties up to birational equivalence. It predicts that Fano, Calabi-Yau and canonically polarized varieties, which are characterized by the “positivity” of their canonical class, constitute – in an appropriate sense – the three “building blocks” of all mildly singular complex projective varieties. In this talk, after giving an overview of the MMP, I will focus on two special kinds of Calabi-Yau varieties, namely primitive symplectic and primitive Enriques varieties, which constitute generalizations of irreducible holomorphic symplectic and Enriques manifolds, respectively, to the singular setting. 
In particular, I will present some results from recent joint works with Francesco Denisi, Ángel David Ríos Ortiz and Zhixin Xie regarding the behaviour of primitive Enriques varieties under certain birational operations and deformations, aiming to motivate thus their definition.

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Ιστοσελίδα σεμιναρίου:sites.google.com/view/nkua-math-colloquium/