Algebraic Geometry Seminar - Max Kutler

Max Kutler
March 3, 2020
3:00 pm - 4:00 pm
Math Tower 154

Date Range
2020-03-03 15:00:00 2020-03-03 16:00:00 Algebraic Geometry Seminar - Max Kutler Title: The Motivic Zeta Function of a Matroid Speaker: Max Kutler - University of Kentucky    Abstract: We associate to any 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 introduced by van der Veer. We compute the first two coefficients in the Taylor expansion of this topological zeta function, answering two questions of van der Veer. This is joint work with Dave Jensen and Jeremy Usatine. Seminar Link Math Tower 154 America/New_York public

Title: The Motivic Zeta Function of a Matroid

Speaker: Max Kutler - University of Kentucky   

Abstract: We associate to any 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 introduced by van der Veer. We compute the first two coefficients in the Taylor expansion of this topological zeta function, answering two questions of van der Veer. This is joint work with Dave Jensen and Jeremy Usatine.

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