Luis Ferroni Rivetti (Università di Bologna)

Ehrhart theory of matroid polytopes

  • Data: 16 MARZO 2021  dalle 15:00 alle 16:00

  • Luogo:

Matroids are combinatorial structures that admit several "cryptomorphic" definitions. It is possible to define matroids as a certain kind of polytopes with vertices with 0/1-coordinates. Also, for every lattice polytope, the function counting the number of integer points inside of every integral dilation is known to be a polynomial, named after Eugene Ehrhart. In this seminar we will talk about the Ehrhart polynomials of matroid polytopes. We will discuss some open problems and recent results on the area, using just minimal prerequisites.