Motivic homological stability for configuration spaces of the line

International audienc

Higher Hochschild cohomology of the Lubin-Tate ring spectrum

We give a method for computing factorization homology of \oper{E}_n-algebra using as an input an algebraic version of higher Hochschild homology due to Pirashvili. We then show how to compute higher Hochschild homology and cohomology when the algebra is \'etale in a sense that we make precise. As an application, we compute higher Hochschild cohomology of the Lubin-Tate ring spectrum.Comment: 27 page

A model structure on internal categories in simplicial sets

We put a model structure on the category of categories internal to simplicial sets whose weak equivalences are reflected by the nerve functor to bisimplicial sets with Rezk's model structure. This model structure is shown to be Quillen equivalent to Rezk's model structure, thus internal category are another model for $(\infty,1)$-categories.Comment: 39 page

Brown categories and bicategories

In a Brown category of cofibrant objects, there is a model for the mapping spaces of the hammock localization in terms of zig-zags of length 2. In this paper we show how to assemble these spaces into a Segal category that models the infinity-categorical localization of the Brown category.Comment: 16 page

Mobile Multi-media Messages (MMS): Show-don't-tell in a Communication

With its complex intersemiotic and intermedial textual configuration, the multimedia mobile message (MMS) offers a unique opportunity to apply visual semiotics tools to the theories of communication. By means of an experimental technical device used by a sample of MMS users who exchanged real image-containing messages, the author highlights the ways in which individuals play with the technical constraints of the MMS application during message production. The analysis of a set of simple messages reveals the extent to which the natural indicial tension of photography impregnates the messages, to the point of their assuming a playful dimension, through ingenious playing on meaning within the framework of a private message.MMS; semiotics; interpersonnal communication; image; text; message

Rigidification of higher categorical structures

Given a limit sketch in which the cones have a finite connected base, we show that a model structure of "up to homotopy" models for this limit sketch in a suitable model category can be transferred to a Quillen equivalent model structure on the category of strict models. As a corollary of our general result, we obtain a rigidification theorem which asserts in particular that any $\Theta_n$-space in the sense of Rezk is levelwise equivalent to one that satisfies the Segal conditions on the nose. There are similar results for dendroidal spaces and $n$-fold Segal spaces.Comment: 30 pages, new introductio