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On the fundamental groups of certain complex varieties

Orateur : Zhining Liu
Établissement : Université de Poitiers (France)
Dates : 2024-12-12 – 2024-12-12
Heures : 14:00 – 14:00
Lieu : Salle IFMI 05

Résumé :
Given a compact complex variety X, one of the simplest way to study its topological properties is to consider its fundamental group 𝜋_1(X). In this talk, we will explain a standard strategy to bound the growth of the fundamental group when the variety X is smooth and its anti-canonical class has some positivities. We will also discuss how adding singularities will complicate the problem. If time permits, we will talk about a special but highly non-trivial case : the fundamental group of a log calabi-yau surface. (The talk is based on a joint work with C.Gachet and J. Moraga and my phd thesis)

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