Concept
Alexandre Grothendieck
Publications associées (32)
Le Jardin Biopolitique. Espaces, vies et transition
Dans toute nouvelle recherche sur le futur de l’espace urbain, le regain d’intérêt pour la vie, frappée de manière tragique par les crises sanitaires, écologiques et socio-politiques, soulève une question théorique et projectuelle cruciale : quel rôle l’es ...
MetisPresses2023Persistence and the Sheaf-Function Correspondence
The sheaf-function correspondence identifies the group of constructible functions on a real analytic manifold M with the Grothendieck group of constructible sheaves on M. When M is a finite dimensional real vector space, Kashiwara-Schapira have recently in ...
Cambridge2023A Hopf algebra model for Dwyer's tame spaces
In this thesis, we give a modern treatment of Dwyer's tame homotopy theory using the language of -categories.We introduce the notion of tame spectra and show it has a concrete algebraic description.We then carry out a study of -operads and ...
EPFL2022Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic
Let X /S be a flat algebraic stack of finite presentation. We define a new & eacute;tale fundamental pro-groupoid pi(1)(X /S), generalizing Grothendieck's enlarged & eacute;tale fundamental group from SGA 3 to the relative situation. When S is of equal pos ...
GEOMETRY & TOPOLOGY PUBLICATIONS2022On the Grothendieck-Serre conjecture for classical groups
We prove some new cases of the Grothendieck-Serre conjecture for classical groups. This is based on a new construction of the Gersten-Witt complex for Witt groups of Azumaya algebras with involution on regular semilocal rings, with explicit second residue ...
WILEY2022Three-dimensional Fermi surfaces from charge order in layered CsV3Sb5
Philip Johannes Walter Moll, Matthias Carsten Putzke, Yi-Chiang Sun, Chunyu Guo, Xiangwei Huang
The cascade of electronic phases in CsV3Sb5 raises the prospect to disentangle their mutual interactions in a clean, strongly interacting kagome lattice. When the kagome planes are stacked into a crystal, its electronic dimensionality encodes how much of t ...
AMER PHYSICAL SOC2022Algebraic Homotopy Interleaving Distance
The theory of persistence, which arises from topological data analysis, has been intensively studied in the one-parameter case both theoretically and in its applications. However, its extension to the multi-parameter case raises numerous difficulties, wher ...
SPRINGER INTERNATIONAL PUBLISHING AG2021A Modular Multilevel Converter with a Clamping Switch for Quasi-Three-Level Operation
The required module capacitances of modular multilevel converters can be significantly reduced in comparison to conventional operation modes when quasi-two-level operation is applied. Unfortunately, the output voltage distortion becomes similar to those of ...
IEEE2021Concepts d’accessibilité d’un grand événement (course à pied d’un niveau international en Suisse) : cas d’étude de la course “Sierre-Zinal”
Non seulement en Suisse, mais aussi dans le monde entier, les courses à pied sont de plus en plus populaires. Certaines d'entre-elles peuvent désormais, par leur ampleur et leur caractère exceptionnel, être considérées comme des grands événements en prenan ...
2020Habitat résilient. [Auto]construction d'une coque biosourcée. Beuzec, Finistère Sud-Ouest, Bretagne, France
En Bretagne, la réhabilitation des bocages et de la culture du chanvre pourrait constituer une des clés pour une transition douce vers de nouveaux modèles sociétaux. La résilience des terrains agricoles face aux changements climatiques fait partie des obje ...
2020