Speaker: Anneloes Viergever
Date: 10:30 27/10/2023
Title: The quadratic Euler characteristic of a smooth projective same-degree complete intersection.
Abstract: To a smooth projective scheme over a field which is not of characteristic two, one can associate 
its quadratic Euler characteristic using motivic homotopy theory. These are quadratic forms that carry a 
lot of information: if the base field is contained in the real numbers, the signature of the quadratic Euler 
characteristic of a scheme is the topological Euler characteristic of its real points, and the rank is the 
topological Euler characteristic of the complex points of the scheme. Quadratic Euler characteristics are 
generally hard to compute, but Levine, Lehalleur and Srinivas have made a successful computation for the 
case of a hypersurface in projective space, using the strategy of a paper by Carlson and Griffiths. 
In this talk, I will discuss an extension of their results to complete intersections of hypersurfaces 
of the same degree.