GQT

GQT

Day 2 (April 15) @ 11:00 – 12:30 Subroom 2

Diletta Martinelli
(University of Amsterdam)

On the birational classification of algebraic varieties

The classification of algebraic varieties is one of the central questions and guiding problems in algebraic geometry. For smooth complex projective curves we have a very satisfactory classification in terms of the genus that leads to three main types of curves: the projective line, elliptic curves, and curves of general type. I will explain how, thanks to the so-called Minimal Model Program, it is possible to recover this trichotomy for higher dimensional varieties and obtain three main pure types: Fano varieties, Calabi-Yau and canonically polarised varieties. I will conclude explaining some current research questions inspired by the geometry of Fano varieties.

Annegret Burtscher
(Radboud Universiteit)

Title: to be announced

Alessandra Cipriani
(TU Delft)

Title: to be announced