The integral Chow rings of the stacks of hyperelliptic Weierstrass points

In this talk, we will discuss the computation of the integral Chow rings of the stacks parametrizing smooth hyperelliptic curves with marked Weierstrass points. Aside from their intrinsic interest, products of these stacks naturally arise as boundary strata of proper moduli stacks, such as stack of stable hyperelliptic curves and some compactified Hurwitz stacks. We prove that the integral Chow ring of each of these stacks of hyperelliptic Weierstrass points is generated as an algebra by any of the psi-classes and that all relations live in degree one. We will also discuss how computation can be carried out when working with rational coefficients. The talk is mainly based on joint work with Dan Edidin.

Bio
https://sites.google.com/math.arizona.edu/zhengninghu/