# Behrendâ€™s function is constant on Hilb^n(C^3)

SPEAKER: Andrew Morrison

TITLE: Behrend’s function is constant on Hilb^n(C^3).

ABSTRACT: We prove that Behrend’s function is constant on Hilb^n(C^3).

A calculation of motivic zeta functions shows the relevant Milnor fibers

have zero Euler characteristic. As a corollary we see that Hilb^n(C^3) is

generically reduced and all it’s components have the same dimension mod 2.

Time permitting we will also extend these results to moduli spaces of curves

in threefolds coming from resolutions of ADE singularities.