Concept
Endomorphism ring
Publications associées (11)
Exploring SIDH-Based Signature Parameters
Tako Boris Fouotsa, Laurane Chloé Angélina Marco, Andrea Basso
Isogeny-based cryptography is an instance of post-quantum cryptography whose fundamental problem consists of finding an isogeny between two (isogenous) elliptic curves E and E′. This problem is closely related to that of computing the endomorphism ring of ...
Springer2024Leveraging topology, geometry, and symmetries for efficient Machine Learning
When learning from data, leveraging the symmetries of the domain the data lies on is a principled way to combat the curse of dimensionality: it constrains the set of functions to learn from. It is more data efficient than augmentation and gives a generaliz ...
EPFL2022A Shadow Perspective on Equivariant Hochschild Homologies
Kathryn Hess Bellwald, Inbar Klang
Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type invariants for monoids in a symmetric monoidal, simplicial model category V, as ...
OXFORD UNIV PRESS2022Idempotents in the endomorphism algebra of a finite lattice
We give a direct construction of a specific central idempotent in the endomorphism algebra of a finite lattice T. This idempotent is associated with all possible sublattices of T which are totally ordered. A generalization is considered in a conjectural fa ...
2021Isogeny graphs of ordinary abelian varieties
Dimitar Petkov Jetchev, Benjamin Pierre Charles Wesolowski, Ernest Hunter Brooks
Fix a prime number l. Graphs of isogenies of degree a power of l are well-understood for elliptic curves, but not for higher-dimensional abelian varieties. We study the case of absolutely simple ordinary abelian varieties over a finite field. We analyse gr ...
Springer Heidelberg2017Hermitian Forms over Algebras with Involution and Hermitian Categories
This thesis is concerned with the algebraic theory of hermitian forms. It is organized in two parts. The first, consisting of the first two chapters, deals with some descent properties of unimodular hermitian forms over central simple algebras with involut ...
EPFL2012Fuzzynet: Ringless Routing in a Ring-like Structured Overlay
Karl Aberer, Anwitaman Datta, Wojciech Galuba, Sarunas Girdzijauskas
Many structured overlay networks rely on a ring invariant as a core network connectivity element. The responsibility ranges of the participating peers and navigability principles (greedy routing) heavily depend on the ring structure. For correctness guaran ...
2011Why H Z-algebra Spectra are Differential Graded Algebras?
In homological algebra, to understand commutative rings R, one studies R-modules, chain complexes of R-modules and their monoids, the differential graded R-algebras. The category of R-modules has a rich structure, but too rigid to efficiently work with hom ...
2010Unitary descent properties
Let k be a field of characteristic /=2 and let W(k) be the Witt ring of k and L a finite extension of k. If L/k is a Galois extension, then the image of rL/k is contained in W(L)Gal(L/k) where rL/k:W(k)→W(L) is the canonical ring homomorphism. Rosenberg an ...
2009Fuzzynet: Zero-maintenance Ringless Overlay
Karl Aberer, Anwitaman Datta, Wojciech Galuba, Sarunas Girdzijauskas
Many structured overlay networks rely on a ring invariant as a core network connectivity element. The responsibility ranges of the participating peers and navigability principles (greedy routing) heavily depend on the ring structure. For correctness guaran ...
2008