Friday, December 18th at 10:30, Emilia Mezzetti (University of Trieste).

Title: Togliatti systems, Weak Lefschetz Property and Galois coverings
Abstract:  In an article in collaboration with Rosa M. Mirò-Roig and Giorgio Ottaviani (Canad. J. Math. 65, 2013), we established a relation, due to apolarity, between Artinian homogeneous ideals of a polynomial ring not satisfying the Weak Lefschetz Property - WLP - and projective varieties that verify a Laplace equation of a certain order s, i.e. such that all the s-osculating spaces have dimension less than expected. Thanks to this relation, it is possible to extend to various classes of toric varieties some classical results due to Eugenio Togliatti. In the seminar, I will introduce these notions and I will speak of some recent results in collaboration with Liena Colarte and Rosa M. Miro'-Roig, relating them to Galois cyclic coverings.

The seminar will take place online. Click here for the Zoom link.