3 citations · 12 across the 21 of their papers we have counts for
22 papers
Introduction to the Category of Derived Motivic Spectra
Renaud Gauthier
We formalize an abstraction of Grothendieck's philosophy of motives and construct a category of derived motivic spectra in the Segal category $\mathbb{R} \underline{\text{Hom}} ((\…
The Physical Mathematics of Segal Topoi and Strings
Renaud Gauthier
We introduce a notion of dynamics in the setting of Segal topos, by considering the Segal category of stacks on a Segal categ…
Goodwillie Calculus and Geometric Stacks
Renaud Gauthier
We show Goodwillie's calculus of functors and -geometric -stacks share similar features by starting to focus on the convergence of Taylor towers for homotopy functors and…
A Dual Representation in Spectral Algebraic Geometry
Renaud Gauthier
Given a spectral Deligne-Mumford stack , we define a perception of to be a collection of a certain class of morphisms . For the class of affine morphisms in…
Modular Model Categories
Renaud Gauthier
To any model category , we associate a modular model category, a functor of points Cat Cat, that associates to any small category $\mat…
Internal Bousfield Localizations
Renaud Gauthier
We develop the notion of left and right Bousfield localizations in proper, cellular symmetric monoidal model categories with cofibrant unit, using homotopy function complexes defin…