Quadratic Euler classes, Euler characteristics and Riemann-Hurwitz formulas

Plática dada por Marc Levine (Universität Duisburg-Essen) en el Segundo Congreso Nacional de Geometría Algebraica el viernes 2 de marzo del 2018 Casa Matemática Oaxaca, en Oaxaca de Juárez, México

Abstract:
Using a combination of methods from motivic homotopy theory and the theory of Chow-Witt groups, one can define refinements of some aspects of classical intersection theory to include arithmetic information carried by quadratic forms. We will describe some of the main points of this theory and some applications.