Doppio Seminario di Geometria

Giovedì 23 Maggio alle ore 14:00, Karl Christ (UT Austin) e alle ore 15:00 Brian Harbourne (Nebraska-Lincoln) terranno i seguenti due seminari per il Seminario di Geometria:

Karl Christ: Clifford's inequality for nodal curves

Abstract: The Clifford inequality is a classical upper bound on the dimension of the space of global sections for line bundles on any smooth curve in terms of the degree of the line bundle. It is easy to see that such a bound -- that is, purely in terms of the total degree -- is not possible if one considers reducible curves. Instead, one has to restrict to some class of multidegrees to obtain meaningful upper bounds. I will survey what is known about this question with an emphasis on recent joint work with M. Barbosa and M. Melo.

Brian Harbourne: Introduction and recent results: geproci sets

Abstract: The notion of a greproci set is only a few years old. It is based on a new model for classifying point sets in projective space, motivated by inverses scattering, namely: classify point sets according to the behavior of the image of the set under projection from a general point to a hyperplane. This provides many still open avenues for research. I will focus on the property that the projection is a complete intersection and discuss what we know now.

Il seminario si svolgerà in presenza nell'aula M1. Per ulteriori informazioni, si può contattare gli organizzatori all'email amos.turchet@uniroma3.it.