Descrizione
Abstract: A classical result in Schubert calculus, known as the Giambelli formula, provides a description of the Schubert classes of the Grassmannian by means of Schur polynomials evaluated at the Chern classes of the universal bundle. In this talk I will explain how this setting can be generalized from cohomology and the Chow ring to other oriented cohomology theories such as connective K-theory and algebraic cobordism. In the process a key role is played by a generalized version of Segre classes. This is a joint work with Tomoo Matsumura.