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Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

Evento

Titolo: On the boundedness of elliptic Calabi-Yau varieties
Quando: 27/03/2019 - 11:00
Dove: Palazzo Campana - TORINO
Aula: Aula Lagrange
Relatore: Roberto Svaldi
Afferenza: University of Cambridge
Locandina: Locandina

Descrizione:

 
 
 
Abstract: One of the main goals in Algebraic Geometry is to classify varieties. 
The minimal model program (MMP) is an ambitious program that aims to realize this goal, from the point of view of birational geometry, that is, we are free to modify the structure of a given variety along closed subsets to improve its geometric features. 
According to the MMP, there are 3 building blocks in the birational classification of algebraic varieties:  Fano varieties, Calabi-Yau varieties, and varieties  of general type. One important question, that is needed to further investigate the classification process, is whether or not varieties in these 3 classes have finitely many deformation types (a property called boundedness). 
Our understanding of the boundedness of Fano varieties and varieties of general type is quite solid  but Calabi-Yau varieties are still quite elusive. In this talk, I will discuss recent results on  the boundedness  of elliptic Calabi-Yau varieties, which are the most relevant in physics. 
As a consequence, we obtain that there are finitely many possibilities for the Hodge diamond of such manifolds. 
This is joint work with C. Birkar and G. Di Cerbo.

Sede

Sede: Palazzo Campana - Sito web
Indirizzo: Via Carlo Alberto 10
CAP: 10123
Città: TORINO