Hamid Ahmadinezhad

Аннотация: Minimal model theory produces a simple birational model for a given algebraic variety. Then it remains to study relations among these simple models in order to have a classification. In this talk I concentrate on 3-fold Morifibre spaces. I will discuss some conjectures for Morifibre spaces over the projective line, I provide counter examples and explain how they can possibly be fixed. This fixation uses stability conditions from geometric invariant theory, due to Kollar, and can be viewed as an extra program on the top of MMP, to get even simpler models.

Анонс доклада

30 марта 2016 года Hamid Ahmadinezhad выступил с докладом "Birational classification of 3-fold Fano-Mori spaces; a new outlook" на внеочередном семинаре Лаборатории.

Аннотация:I will give an overview of the geometry of Fano 3-folds after Mori theory. After discussing past approaches to the classification, I will highlight why such attempts seem hopeless. Building on recent advances in the geometry of Fanos, I introduce a new viewpoint on the classification problem. A main emphasis will be given to the unpredicted behaviour of the first examples of non-complete intersection biratinally rigid Fanos, discovered in a joint work with Takuzo Okada. I will also talk about the other end of the spectrum, the rational Fanos.