Espaces de lacets gradués en caractéristique mixte et algèbre de de Rham-Witt

Autor: Monier, Ludovic

Publikováno v: Algebraic Geometry [math.AG]. Université Paul Sabatier-Toulouse III, 2022. English. ⟨NNT : 2022TOU30117⟩

In this thesis, we study a variation of the graded loop space construction for mixed graded derived schemes endowed with a Frobenius lift. We develop a theory of derived Frobenius lifts on a derived stack which are homotopy theoretic analogues of str

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______4074::97cc4b015954988630c6fea51767bf34
https://theses.hal.science/tel-03848045/file/2022TOU30117a.pdf

Categories of singularities, matrix factorizations and vanishingcycles

Autor: Pippi, Massimo

Publikováno v: Géométrie algébrique [math.AG]. Université Paul Sabatier-Toulouse III, 2020. Français. ⟨NNT : 2020TOU30049⟩
Algebraic Geometry [math.AG]. Université Toulouse 3-Paul Sabatier, 2020. English

The aim of this thesis is to study the dg categories of singularities Sing(X, s) of pairs (X, s), where X is a scheme and s is a global section of some vector bundle over X. Sing(X, s) is defined as the kernel of the dg functor from Sing(X0) to Sing(

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::788e1bbed27e9c2ba12471e855902cc3
https://hal.archives-ouvertes.fr/tel-02864842v2/document

Derived integral models and its applications to the study of certain derived rigid analytic moduli spaces

Autor: Ferreira Antonio, Jorge

Publikováno v: Algebraic Geometry [math.AG]. Université Paul Sabatier-Toulouse III, 2019. English. ⟨NNT : 2019TOU30040⟩

In this thesis, we study different aspects of derived k-analytic geometry. Namely, we extend the theory of classical formal models for rigid k-analytic spaces to the derived setting. Having a theory of derived formal models at our disposal we proceed

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::83bc285d197597e60b43798acb2dd772
https://tel.archives-ouvertes.fr/tel-02893895/file/2019TOU30040B.pdf

Shifted quadratic forms and deformations

Autor: Bach, Samuel

Publikováno v: Géométrie algébrique [math.AG]. Université Montpellier, 2017. Français. ⟨NNT : 2017MONTS013⟩

The classical L-theory of a commutative ring is built from the quadratic forms over this ring modulo a lagrangian equivalence relation.We build the derived L-theory from the n-shifted quadratic forms on a derived commutative ring. We show that forms

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______212::da3d08170c8f6cd1f5d8dc949aba1aa2
https://tel.archives-ouvertes.fr/tel-01878208/file/BACH_2017_archivage_cor.pdf