Algebra and geometry seminar 18-12-2020

[Francesco Galuppi]

Dear colleagues,

this is to advertise the weekly seminar of the Algebra and Geometry 
group of the university of Trieste. On Friday, December 18th at 10:30, 
Emilia Mezzetti (University of Trieste) will talk about"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. The Zoom link is 
https://us02web.zoom.us/j/82096980423.

You are welcome to extend the invitation to anyone interested.

Best,
Francesco