Chern-Schwartz-MacPherson classes of matroids (Kristin Shaw, University of Oslo)
16.07.2018 16:00
Chern-Schwarz-Macpherson (CSM) classes are one way to extend the notion of Chern classes to singular and non-complete varieties. Matroids are an abstraction of the notion of independence in mathematics. In this talk, I will provide a combinatorial analogue of CSM classes for matroids, motivated by the geometry of hyperplane arrangements. In this setting, CSM classes are polyhedral fans which are Minkowski weights. One goal for defining these classes is to express matroid invariants as invariants from algebraic geometry. The CSM classes can be used to study the complexity of more general objects such as subdivisions of matroid polytopes and tropical manifolds.
This is based on joint work with Lucia López de Medrano and Felipe Rincón.
Lieu
Bâtiment: Battelle
Séminaire "Fables géométriques"
Organisé par
Section de mathématiquesIntervenant-e-s
Kristian Shaw, University of Osloentrée libre
Classement
Catégorie: Séminaire