Publications related to Why H Z-algebra Spectra are Differential Graded Algebras?

Cyclic $A_\infty$-algebras and cyclic homology

We provide a new description of the complex computing the Hochschild homology of an -unitary -algebra as a derived tensor product such that: (1) there is a canonical morphism from it to the complex computing the cyclic homology of that was introduced by Ko ...

2023

The multivariate Serre conjecture ring

Luc Guyot

It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension

San Diego2023

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Vlad Serban, Nihar Prakash Gargava

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Interlocking modular microfluidic cooling substrates for future high energy physics experiments

Massimo Angeletti

In high energy physics, semiconductor-based sensors are widely used in particle tracking applications. These sensors are typically glued on low-mass cooling substrates, which guarantee the correct thermal management and, at the same time, minimise their in ...

EPFL2023

Lattice packings through division algebras

Nihar Prakash Gargava

In this text, we will show the existence of lattice packings in a family of dimensions by employing division algebras. This construction is a generalization of Venkatesh's lattice packing result Venkatesh (Int Math Res Notices 2013(7): 1628-1642, 2013). In ...

SPRINGER HEIDELBERG2023

Chromatin modules and their implication in genomic organization and gene regulation

Bart Deplancke, Guido Van Mierlo, Judith Franziska Kribelbauer

Regulation of gene expression is a complex but highly guided process. While genomic technologies and computational approaches have allowed high-throughput mapping of cis-regulatory elements (CREs) and their interactions in 3D, their precise role in regulat ...

ELSEVIER SCIENCE LONDON2023

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

Nicolas Monod

We determine the bounded cohomology of the group of homeomorphisms of certain low-dimensional manifolds. In particular, for the group of orientation-preserving homeomorphisms of the circle and of the closed 2-disc, it is isomorphic to the polynomial ring g ...

SPRINGER HEIDELBERG2023

Long-term performance and reliability of silicon heterojunction solar modules

Christophe Ballif, Alessandro Francesco Aldo Virtuani, Olatz Arriaga Arruti

The high-efficiency silicon heterojunction (SHJ) technology is now perceived mature enough to enter the Giga-Watt manufacturing scale with several players around the globe. The growth of the SHJ technology requires confidence from manufacturers, investors, ...

2023

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

Rafael Vazquez Hernandez

Isogeometric analysis is a powerful paradigm which exploits the high smoothness of splines for the numerical solution of high order partial differential equations. However, the tensor-product structure of standard multivariate B-spline models is not well s ...

WORLD SCIENTIFIC PUBL CO PTE LTD2023

Unlikely intersections on the p-adic formal ball

Vlad Serban

We investigate generalizations along the lines of the Mordell-Lang conjecture of the author's p-adic formal Manin-Mumford results for n-dimensional p-divisible formal groups F. In particular, given a finitely generated subgroup (sic) of F(Q(p)) and a close ...

SPRINGER INT PUBL AG2023

Why H Z-algebra Spectra are Differential Graded Algebras?

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Cyclic $A_\infty$-algebras and cyclic homology

The multivariate Serre conjecture ring

Moments of the number of points in a bounded set for number field lattices

Interlocking modular microfluidic cooling substrates for future high energy physics experiments

Lattice packings through division algebras

Chromatin modules and their implication in genomic organization and gene regulation

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

Long-term performance and reliability of silicon heterojunction solar modules

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

Unlikely intersections on the p-adic formal ball

Moments of the number of points in a bounded set for number field lattices

Cyclic $A_\infty$-algebras and cyclic homology

Interlocking modular microfluidic cooling substrates for future high energy physics experiments

Chromatin modules and their implication in genomic organization and gene regulation

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

The multivariate Serre conjecture ring

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

Lattice packings through division algebras

Long-term performance and reliability of silicon heterojunction solar modules

Unlikely intersections on the p-adic formal ball