Universität Augsburg

Vladimiro Benedetti
Université de Bourgogne et FrancheCompté
spricht am
Donnerstag, 6. Juli 2023
um
12:30 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: 
In this talk I will present a joint work with Daniele Faenzi and Alan Muniz on the variety of codimension one foliations on some rational homogeneous varieties. The (historical) example that will lead the way is that of the projective space: in this case, Jouanolou has shown that every foliation of minimal degree and codimension one is obtained as the fibers of a linear projection from P^n to P^1. Thus the corresponding variety parametrizing these foliations is just a Grassmannian. We will extend this result to a certain class of homogeneous varieties called cominuscule Grassmannians (among which appear the "usual" Grassmannians). This will be done by using equivariant techniques and by restricting the foliations from P^n to the cominuscule Grassmannians. 
Hierzu ergeht herzliche Einladung. 
Prof. Dr. Maxim Smirnov 