Palestra Especial - Birational geometry of Calabi-Yau pairs - Carolina Araujo (2025)

Título: Birational geometry of Calabi-Yau pairs
Palestrante: Carolina Araujo
Data: 31/01/2025
Horário: 11h00 - 12h00
Resumo: The concept of a pair has become standard in algebraic geometry. One of its key motivations arises from Iitaka’s program in the 1970s, which aimed to classify open varieties $U$.The approach involves compactifying $U$ into a projective variety $X$ by adding a boundary divisor $D$, and then studying the geometry of $U$ through the pair $(X,D)$. Over time, the theory of pairs has evolved significantly and has become a cornerstone of birational geometry. After reviewing some historical developments in the theory of pairs (including the concept of hyperbolicity for pairs), we turn our attention to Calabi-Yau pairs. In particular, we present a framework, developed in collaboration with Alessio Corti and Alex Massarenti, which allows one to explicitly describe the birational geometry of Calabi-Yau pairs.
Informação extra: This lecture is part of the Monthly Lecture Series "On the Geometry of the Cotangent Bundle and Hyperbolicity", co-organized by Damian Brotbek (Université de Lorraine), Bruno De Oliveira (University of Miami), Natalia Garcia-Fritz (Pontificia Universidad Católica de Chile), Steven Lu (Université du Québec à Montréal), and Jorge Vitório Pereira (IMPA).
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