Back to Algebraic Geometry Seminar: Fall 2019
Algebraic Geometry Seminar
Date: Tuesday, Nov 5, 2019
Time: 3:30PM - 4:30PM
Location: LCB 222
Max Kutler
Univeristy of Kentucky
Title |
The motivic zeta function of a matroid |
Abstract |
We associate to any loop-free matroid a motivic zeta function. If the matroid is representable by a complex hyperplane arrangement, then this coincides with the motivic Igusa zeta function of the arrangement. We show that this zeta function is rational and satisfies a functional equation. Moreover, it specializes to the topological zeta function of Robin van der Veer. We answer two questions of van der Veer about this topological zeta function. This is joint work with Dave Jensen and Jeremy Usatine. |
Algebraic Geometry