Alena Pirutka: Irrationality problems
Tid: To 2017-02-16 kl 11.00 - 12.00
Plats: Institut Mittag-Leffler, Auravägen 17, Djursholm
Medverkande: Alena Pirutka, Courant Institute of Mathematical Sciences
Abstract: Let X be a projective algebraic variety, the set of solutions of a system of homogeneous polynomial equations. Several classical notions describe how ``unconstrained'' the solutions are, i.e., how close X is to projective space: there are notions of rational, unirational and stably rational varieties. Over the field of complex numbers, these notions coincide in dimensions one and two, but diverge in higher dimensions. In this talk I will discuss classical and recent advances in this area, examples and deformation properties.