Arithmetic Tutte polynomials and quasipolynomials
Arithmetic Tutte polynomials and quasipolynomials

Luca Moci, Jussieu, U Paris 7
Fine Hall 224
We will introduce two invariants called the arithmetic Tutte polynomial and the Tutte quasipolynomial, and we will survey their several applications, including:  generalization of graph colorings and flows to cellular complexes of higher dimension;  combinatorial and topological invariants of toric arrangements;  Ehrhart polynomials of zonotopes;  Hilberts series of some modules related to the vector partition function. The talk is partially based on joint work of the speaker with Petter Brändén, Michele D'Adderio and Alex Fink.