Results 41 to 50 of about 4,385,745 (186)
The hitchhiker guide to Categorical Banach space theory. Part II.
Extracta Mathematicae, 2021 What has category theory to offer to Banach spacers? In this second part survey-like paper we will focus on very much needed advanced categorical and homological elements, such as Kan extensions, derived category and derived functor or Abelian hearts of ...
Jesús Castillo
doaj
On the derived DG functors [PDF]
Mathematical Research Letters, 2010 Final version.
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Journal of Pure and Applied Algebra, 1990 AbstractThe Gabriel-Popescu Theorem states essentially that every Grothendieck category is (up to equivalence) of the form (R,σ)-mod, i.e., the quotient category of some left module category R-mod, by some Serre subcategory Tσ associated to an idempotent kernel functor σ.
B. Hendrickx, Alain Verschoren
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ROUQUIER’S CONJECTURE AND DIAGRAMMATIC ALGEBRA
Forum of Mathematics, Sigma, 2017 We prove a conjecture of Rouquier relating the decomposition numbers in category ${\mathcal{O}}$ for a cyclotomic rational Cherednik algebra to Uglov’s ...
BEN WEBSTER
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On the Derived Functors of Destabilization and of Iterated Loop Functors [PDF]
, 2017 These notes explain how to construct small functorial chain complexes which calculate the derived functors of destabilization (respectively iterated loop functors) in the theory of modules over the mod 2 Steenrod algebra; this shows how to unify results of Singer and of Lannes and Zarati.
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Étale motives of geometric origin
Bulletin of the London Mathematical Society, EarlyView.Abstract Over qcqs finite‐dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question ‘Do all constructible étale motives come from geometry?’ which dates back to Cisinski and Déglise's work.
Raphaël Ruimy, Swann Tubach
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Moduli of finite flat torsors over nodal curves
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
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Derivation functors and Lusztig's induction functors
, 2022 Lusztig proved the compatibility of induction functors and restriction functors for Lusztig's perverse sheaves. Fang-Lan-Xiao established a categorification of Green's formula and gave a sheaf-level proof of this compatibility for all semisimple complexes.
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Advanced Science, Volume 12, Issue 23, June 20, 2025.This study proposes novel operational schemes to solve the write disturbance issues in oxide‐semiconductor and capacitor‐based synaptic devices (6T1C devices). These schemes effectively neutralize disturbances, enabling high‐performance on‐chip training of convolutional neural networks and reducing capacitor size over 100 times.
Jaehyeon Kang +6 more
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Preservation for generation along the structure morphism of coherent algebras over a scheme
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1885-1896, June 2025.Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
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