Lunedì 5 Maggio 2025, dalle ore 14:00 in Aula 2109 (2° Piano) - Edificio U5, Massimiliano Alessandro (Università del Saarland) e Francesco Pediconi (Politecnico di Torino) terranno i seguenti interventi
Relatore: Massimiliano Alessandro
Titolo: On the birationality of the canonical map of some 3-folds of general type
Abstract: The canonical map phi of a smooth complex algebraic variety X of general type is an important invariant in complex algebraic geometry. We focus on the case where phi is birational. In 2017 Catanese provided a representation-theory-based criterion to ensure that phi is birational under the assumption that X is a surface isogenous to a product of curves. In a joint work in progress with Christian Gleissner we adapt this criterion to 3-folds isogeneous to a product via an abelian group, providing an effective construction method which leads us to explicit examples of 3-folds where phi is birational.
Relatore: Francesco Pediconi
Titolo: Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces
Abstract: Ricci flow solutions that exist for all negative times have special significance and are known as ancient solutions. In this talk, we describe the general structure of collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds. Furthermore, we present a general existence theorem and show that, under certain algebraic assumptions, these solutions exhibit more symmetries than initially expected. This is joint work with S. Sbiti and A. M. Krishnan.
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