Friday, November 13th at 10:30, Ada Boralevi (Politecnico di Torino).

Title: Matrices of constant rank, quadric surfaces, Pfaffian hypersurfaces.
Abstract: I will report on a recent joint work with M.L. Fania and E. Mezzetti, where we studied smooth quadric surfaces in the Pfaffian hypersurface in P^14, not intersecting the Grassmannian G(1,5). Such surfaces correspond to quadratic systems of skew-symmetric matrices of size 6 and constant rank 4, and give rise to a globally generated vector bundle E on the quadric. I will describe these bundles and their geometry, explaining the different techniques that we used.

The seminar will take place on Zoom. If you are interested in joinng, please send an email to fgaluppi@units.it.