Tuesday 17 February 2026, from 2 pm in Room U9-09 (U9 Building - Viale dell'Innovazione 10, Milano), Davide Bricalli (University of Pavia) e Alberto Saracco (University of Parma) will give the following talks
Speaker: Davide Bricalli
Title: On cubic hypersurfaces and their Hessian loci
Abstract: Given a homogeneous polynomial, it is natural to consider the associated Hessian matrix and the zero locus of its determinant, the hessian polynomial. In this talk we will focus on the case of Hessian loci associated with cubic hypersurfaces. After defining the objects and presenting some basic facts, in the first part we will discuss some geometric properties of these Hessian loci, such as reducedness or irreducibility. In the second part, we will present some progress towards the "Ciliberto-Ottaviani conjecture", dealing with the birationality of the Hessian map. This is based on joint works in collaboration with F.Favale and G.P.Pirola.
Speaker: Alberto Saracco
Title: Differential geometry for non-differentiable objects
Abstract: Differential geometry is about using analytic tools (mainly derivatives) to find invariants or descriptions of geometric objects as curves or surfaces. But can we define things as curvature or torsion for curves which are not C^2? A classical example of such a thing is given by Gauss-Bonnet theorem, which by linking Euler-Poincare characteristic to Gauss curvature, allows to define Gauss curvature in non smooth points. [Joint works with Domenico Mucci and Cristian Sopio]
All interested are invited to participate
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