Categories tannakiennes

Publication date: 1972

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) (Co)homology theory in algebraic geometry (14F99) Group schemes (14L15)

Related Items

The Mumford-Tate group of 1-motives, On the classification of strongly graded Hopf algebras, A Tannakian approach to dimensional reduction of principal bundles, On the calculation of some differential Galois groups, Nilpotence, radicals and monoidal structures. With an appendix by Peter O'Sullivan., Representation theory of 2-groups on Kapranov and Voevodsky's 2-vector spaces, Rationalité et valeurs de fonctions L en cohomologie cristalline. (Rationality and values of L-functions in crystalline cohomology), Moduli of representations of the fundamental group of a smooth projective variety. I, A universal rigid abelian tensor category, The canonical filtration by the slopes of a $q$-difference module and the associated graded module., On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic, The web monoid and opetopic sets, Lifting according to an isogeny of $\ell$-adic Galois representations associated to motives, Tannaka duality for proper Lie groupoids, Tensor envelopes of regular categories, The fundamental group of a noncommutative space, For an unconditional theory of motives, Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity, Serre's tensor construction and moduli of abelian schemes, Propriétés du groupe tannakien des structures de Hodge $p$-adiques et torseur entre cohomologies cristalline et étale. (Properties of the Tannakian group of $p$-adic Hodge structures and torsor between crystalline and étale cohomologies.), Specialization map between stratified bundles and pro-étale fundamental group, A control theorem for the torsion Selmer pointed set, Tannakian formalism for fiber functors over tensor categories, Structure and classification of monoidal groupoids, Higher cohomologies of commutative monoids, Third kind elliptic integrals and 1-motives, Algebraic versus topological entropy for surfaces over finite fields, 2-groups, trialgebras and their Hopf categories of representations, $F$-isocrystals and homotopy types, A Künneth formula in tensor triangulated categories, Noncommutative motives in positive characteristic and their applications, A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics, On symmetric fusion categories in positive characteristic, Which abelian tensor categories are geometric?, On linear Hodge-Newton decomposition for reductive monoids., Pullback of parabolic bundles and covers of $\mathbb P^{1}\setminus \{0,1,\infty \}$, Higher cohomologies of modules, $G$-torsors over a Dedekind scheme, On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field, Remarks on units of skew monoidal categories, Duals invert, Classical and quantum conformal field theory, Equivariant embedding theorems and topological index maps, Bivariant K-theory via correspondences, Le théorème de comparaison entre cohomologies de de Rham d'une variété algébrique complexe et le théorème d'existence de Riemann. (The comparison theorem between de Rham cohomologies and the Riemann existence theorem), Torseurs pour les motifs et pour les représentations p-adiques potentiellement de type CM. (Torsors for motives and for p-adic representations potentially of CM type), Semi simplicity of tensor products in characteristic $p$, Nonabelian Hodge theory in characteristic $p$, Barsotti-Tate groups and $p$-adic representations of the fundamental group scheme, The geometry of tensor calculus. I, Tame stacks in positive characteristic, Galois theory for braided tensor categories and the modular closure, $G$-valued local deformation rings and global lifts, On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory., Tannakian approach to linear differential algebraic groups., Generic smoothness for $G$-valued potentially semi-stable deformation rings, 2-gerbes bound by complexes of gr-stacks, and cohomology, On the regular representation of an (essentially) finite 2-group, Symmetric tensor categories in characteristic 2, On the extension of stringlike localised sectors in 2+1 dimensions, Cohomology of monoids with operators, Higgs bundles and local systems, Zariski closures of reductive linear differential algebraic groups, Vector bundles of degree zero over an elliptic curve., Existence of $F$-crystals with supplementary structures, Perverse sheaves on real loop Grassmannians, Monodromy group for a strongly semistable principal bundle over a curve, Comodules for some simple $\mathcal O$-forms of $\mathbb G_{m}$, The algebraic groups leading to the Roth inequalities, Spanier-Whitehead duality in algebraic geometry, Moduli of unipotent representations. I: Foundational topics, An introduction to motivic Feynman integrals, Monodromy for principal bundles, Syntactic categories for Nori motives, On the stability of charges in infinite quantum spin systems, On log motives, Tannaka duality, coclosed categories and reconstruction for nonarchimedean bialgebras, Moduli of representations of the fundamental group of a smooth projective variety. II, Coquasi-bialgebras with preantipode and rigid monoidal categories, Białynicki-Birula decomposition for reductive groups in positive characteristic, Recent results on vector bundles, principal bundles and related topics, Butterflies. I: Morphisms of 2-group stacks, The torsor between $p$-adic étale cohomology and crystalline cohomology; the abelian case, Tannakian categories, linear differential algebraic groups, and parametrized linear differential equations, Reductive group schemes over the Fargues-Fontaine curve, Automorphic vector bundles on connected Shimura varieties, Semi-abelian analogues of Schanuel conjecture and applications, Galois reconstruction of finite quantum groups, Diophantine problems and $p$-adic period mappings, F-isocrystals and De Rham cohomology. I, Modular forms, Quantum fields and motives, Correspondences of ribbon categories, Hopf bimodules, coquasibialgebras, and an exact sequence of Kac, The canonical slope filtration of a $q$-difference module, On Hopf algebras and rigid monoidal categories, Principal homogeneous spaces for arbitrary Hopf algebras, Azumaya monads and comonads, The fundamental group-scheme, An unconditional construction of motivic Galois groups, Construction de représentations $p$-adiques, A Harder–Narasimhan stratification of the -Grassmannian, Integral models for Shimura varieties of abelian type, Integral homology of loop groups via Langlands dual groups, Unnamed Item, Théorie de Schreier supérieure, Unnamed Item, Integral motives and special values of zeta functions, On the Structure of Affine Flat Group Schemes Over Discrete Valuation Rings, II, Freely adjoining monoidal duals, Tamely ramified torsors and parabolic bundles, Serre–Tate theory for moduli spaces of PEL type, Notes on weak units of group-like 1- and 2-stacks, $F$-isocrystals and their monodromy groups, On certain Tannakian categories of integrable connections over Kähler manifolds, Dualité plate pour les surfaces à coefficients dans un groupe de type multiplicatif, Unnamed Item, Higher cohomologies for presheaves of commutative monoids, Hopf monads: a survey with new examples and applications, A categorical approach to dynamical quantum groups, Serre functors and graded categories, Regular-singular connections on relative complex schemes, Parabolicity conjecture of $F$-isocrystals, An embedding problem for finite local torsors over twisted curves, Deligne-Riemann-Roch and intersection bundles, Двойственность в абелевых многообразиях и формальных группах над локальными полями, Realization of rigid $C^\ast $-bicategories as bimodules over type $\mathrm{II}_1$ von Neumann algebras, Liftable pairs of functors and initial objects, Catégories tannakiennes, GAGA theorems, G-valued crystalline deformation rings in the Fontaine–Laffaille range, Pre-rigid monoidal categories, Parabolic connections and stack of roots, DiffÃ©rentielles non commutatives et thÃ©orie de Galois diffÃ©rentielle ou aux diffÃ©rences, Filtrations and Buildings, Notes on the Geometric Satake Equivalence, Variations on a Theorem of Tate, Comatrix Coring Generalized and Equivalences of Categories of Comodules, G-torseurs en théorie de Hodgep-adique, Unnamed Item, Topology and logic as a source of algebra, Lifting $D$-modules from positive to zero characteristic, BREUIL–KISIN–FARGUES MODULES WITH COMPLEX MULTIPLICATION, On the equality of $q$-dimension and intrinsic dimension, Classification of Semisimple Algebraic Monoids, Euler characteristics for $p$-adic Lie groups, Motivic torsors, Graded extensions of monoidal categories, Hochschild Homology in a Braided Tensor Category, Exponential sums over finite fields and differential equations over the complex numbers: Some interactions, Categorical $G$-crossed modules and 2-fold extensions, Hopf Algebras, Unnamed Item, Unnamed Item, Simply connected varieties in characteristic, Geometrization of principal series representations of reductive groups, Unnamed Item, Unnamed Item, Purity of the stratification by Newton polygons, Tannakian Krull-Schmidt reduction, On an injectivity lemma in the proof of Tannakian duality, Groupes $p$-divisibles et modules filtrés : le cas peu ramifié, ON THE STRATIFIED VECTOR BUNDLES, Unnamed Item, Unnamed Item, Dualizable tensor categories, ALGEBRAIC AND NORI FUNDAMENTAL GERBES, A conjecture in the arithmetic theory of differential equations, Hasse-Arf filtrations in 𝑝-adic analytic geometry, A monoidal approach to splitting morphisms of bialgebras, Weights in rigid cohomology applications to unipotent F-isocrystals, The Nori fundamental gerbe of a fibered category, Generalized Beilinson Elements and Generalized Soulé Characters, Vanishing theorems for constructible sheaves on abelian varieties