Bertrand J. Guillou

activity

20202026

collaborators

6 papers

math.AT2026

The Zero Slice of Quaternionic Real Bordism

Bertrand J. Guillou, Jesse Keyes, David Mehrle

Using the Hill-Hopkins-Ravenel norm, one can produce a $Q_{8}$ -spectrum $N_{C_{2}}^{Q_{8}} MU R$ , where $Q_{8}$ is the quaternion group. Working towards a computation of the…

math.AT2026

The real Brown-Peterson homology of $Ω^{ρ} S^{ρ + 1}$

Christian Carrick, Bertrand Guillou, Sarah Petersen

We compute the $R O (C_{2})$ -graded real Brown--Peterson homology of the representation-loop space $Ω^{ρ} S^{ρ + 1}$ , where $ρ$ is the regular representation of the cyclic group of order t…

math.AT2025

The $R O (K)$ -graded homotopy of Klein-four normed Mackey functors

Bertrand J. Guillou, Jesse Keyes, David Mehrle

We compute the $R O (K)$ -graded coefficients of the equivariant Eilenberg-Mac Lane spectrum associated to various Hill-Hopkins-Ravenel norms of the constant- $F_{2}$ …

math.AT2023

On the Steenrod module structure of $R$ -motivic Spanier-Whitehead duals

Prasit Bhattacharya, Bertrand J. Guillou, Ang Li

The $R$ -motivic cohomology of an $R$ -motivic spectrum is a module over the $R$ -motivic Steenrod algebra $A^{R}$ . In this paper, we des…

math.AT2022

The slices of quaternionic Eilenberg-Mac Lane spectra

Bertrand J. Guillou, Carissa Slone

We compute the slices and slice spectral sequence of integral suspensions of the equivariant Eilenberg-Mac Lane spectra $H Z$ for the group of equivariance $Q_8…

math.AT2020

Additive power operations in equivariant cohomology

Peter J. Bonventre, Bertrand J. Guillou, Nathaniel J. Stapleton

Let $G$ be a finite group and $E$ be an $H_{\infty}$ -ring $G$ -spectrum. For any $G$ -space $X$ and positive integer $m$ , we give an explicit description of the smallest Mackey ideal $…