Zhouli Xu

activity

20242026

collaborators

4 papers

math.AT2026

Equivariant generating hypotheses for finite groups

Sihao Ma, XiaoLin Danny Shi, Zhouli Xu +1

We prove that no nontrivial finite group $G$ satisfies the equivariant generating hypothesis of Bohmann, even when all $R O (H)$ -graded homotopy groups are tested for every subgroup…

math.AT2026

A Hurewicz Theorem for $R O (C_{2})$ -graded Equivariant Homology Governed by Vector Fields on Spheres

Manyi Guo, Guchuan Li, Yunze Lu +5

We determine the $R O (C_{2})$ -graded Hurewicz images of the $C_{2}$ -equivariant Eilenberg--MacLane spectra $H F_{2}$ , $H Z$ and $H A$ , whe…

math.AG2025

Motivic stable stems and Galois approximations of cellular motivic categories

Tom Bachmann, Robert Burklund, Zhouli Xu

We reconstruct (appropriately completed) categories of cellular motivic spectra over fields of small cohomological dimension in terms of only their absolute Galois groups. As our m…

math.AT2024

Classical stable homotopy groups of spheres via $F_{2}$ -synthetic methods

Robert Burklund, Daniel C. Isaksen, Zhouli Xu

We study the $F_{2}$ -synthetic Adams spectral sequence. We obtain new computational information about $C$ -motivic and classical stable homotopy groups.

Equivariant generating hypotheses for finite groups

A Hurewicz Theorem for RO(C2​)-graded Equivariant Homology Governed by Vector Fields on Spheres

Motivic stable stems and Galois approximations of cellular motivic categories

Classical stable homotopy groups of spheres via F2​-synthetic methods

A Hurewicz Theorem for $R O (C_{2})$ -graded Equivariant Homology Governed by Vector Fields on Spheres

Classical stable homotopy groups of spheres via $F_{2}$ -synthetic methods