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Algebraic K-theory

- Algebraic K-theory, B. Guillou
- Mathematics
- 2005

The idea will be to associate to a ring R a set of algebraic invariants, Ki(R), called the K-groups of R. We can even do a little better than that: we will associated an (infinite loop) space K(R) to… Expand

The η-local motivic sphere

- B. Guillou, Daniel Isaksen
- Mathematics
- 1 October 2015

We compute the h1-localized cohomology of the motivic Steenrod algebra over C. This serves as the input to an Adams spectral sequence that computes the motivic stable homotopy groups of the η-local… Expand

MODELS OF G-SPECTRA AS PRESHEAVES OF SPECTRA

- B. Guillou, Jon P. May
- Mathematics
- 17 October 2011

Let G be a finite group. We give Quillen equivalent models for the category of G-spectra as categories of spectrally enriched functors from ex- plicitly described domain categories to nonequivariant… Expand

Asymptotic Properties of Zeros of Hypergeometric Polynomials

- P. Duren, B. Guillou
- Computer Science, Mathematics
- J. Approx. Theory
- 1 August 2001

TLDR

STRICTIFICATION OF CATEGORIES WEAKLY ENRICHED IN SYMMETRIC MONOIDAL CATEGORIES

- B. Guillou
- Mathematics
- 29 September 2009

We show that categories weakly enriched over symmetric monoidal cate- gories can be strictied to categories enriched in permutative categories. This is a \many 0-cells" version of the strictication… Expand

ENRICHED MODEL CATEGORIES AND PRESHEAF CATEGORIES

- B. Guillou, Jon P. May
- Mathematics
- 17 October 2011

We collect in one place a variety of known and folklore results in enriched model category theory and add a few new twists. The central theme is a general procedure for constructing a Quillen… Expand

Equivariant iterated loop space theory and permutative G–categories

- B. Guillou, Jon P. May
- Mathematics
- 14 July 2012

We set up operadic foundations for equivariant iterated loop space theory. We start by building up from a discussion of the approximation theorem and recognition principle for V-fold loop G-spaces to… Expand

The motivic fundamental group of the punctured projective line

- B. Guillou
- Mathematics
- 10 March 2009

We describe a construction of an object associated to the fundamental group of the projective line minus three points in the Bloch-Kriz category of mixed Tate motives. This description involves… Expand

The η–inverted ℝ–motivic sphere

- B. Guillou, Daniel Isaksen
- Mathematics
- 5 October 2015

We use an Adams spectral sequence to calculate the R-motivic stable homotopy groups after inverting eta. The first step is to apply a Bockstein spectral sequence in order to obtain h_1-inverted… Expand

A SHORT NOTE ON MODELS FOR EQUIVARIANT HOMOTOPY THEORY

- B. Guillou
- 2006

These notes explore equivariant homotopy theory from the perspective of model categories in the case of a discrete group G. Section 2 reviews the situation for topological spaces, largely following… Expand

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