Approximate algebraic structure by Green, B

“…We discuss a selection of recent developments in arithmetic combinatorics having to do with "approximate algebraic structure" together with some of their applications.…”

On The Algebraic Structure Of Combinatorial Problems by P.G.Jeavons

Algebraic structures in combinatorial problems by Bulatov, A, Jeavons, P

On Priestley spaces of lattice-ordered algebraic structures by Martinez, N, Priestley, H

Traced monoidal categories as algebraic structures in Prof by Hu, N, Vicary, J

“…We define a traced pseudomonoid as a pseudomonoid in a monoidal bicategory equipped with extra structure, giving a new characterisation of Cauchy complete traced monoidal categories as algebraic structures in Prof, the monoidal bicategory of profunctors. …”

On the algebraic structure of iterated integrals of quasimodular forms by Matthes, N

Vanishing of the Batalin-Vilkovisky algebra structure for TCFTs by Tillmann, U

Hall algebras and Green rings by Archer, L, Archer, Louise

Subjects:

On the topology of algebraic surfaces and reduction modulo p by Joe, D, Kim, M

“…We show that the topology of a simply-connected smooth projective surface is determined by its algebraic structure modulo p.…”

Word problems on string diagrams by Delpeuch, A

“…Those word problems consist in determining whether two given diagrams can be related via a sequence of isotopy moves, whose nature depends on the algebraic structure at hand. We provide algorithms for the word problems for monoidal categories (or equivalently 2-categories or bicategories) and double categories. …”

On finitely generated profinite groups I: strong completeness and uniform bounds by Nikolov, N, Segal, D

“…We prove that in every finitely generated profinite group, every subgroup of finite index is open; this implies that the topology on such groups is determined by the algebraic structure. This is deduced from the main result about finite groups: let $w$ be a `locally finite' group word and $d\in\mathbb{N}$. …”

Overview on elliptic multiple zeta values by Matthes, N

“…Having compared the two approaches, we survey various recent results about the algebraic structure of elliptic multiple zeta values, as well as indicating their relation to iterated integrals of Eisenstein series, and to a special algebra of derivations.…”

Irrationality proofs for zeta values, moduli spaces and dinner parties by Brown, F

“…This construction yields Ap´ery’s approximations to ζ(2) and ζ(3), and for larger n, an infinite family of small linear forms in multiple zeta values with an interesting algebraic structure. It also contains a generalisation of the linear forms used by Ball and Rivoal to prove that infinitely many odd zeta values are irrational.…”

Introductory lectures on topological quantum field theory by Peelaers, W

“…We will introduce Atiyah’s axiomatic definition of topological quantum field theories and explain how it provides a particularly intuitive, pictorial representation of the algebraic structure of two-dimensional TQFTs. We also consider Witten’s topological twist as a means to obtain so-called cohomological TQFTs. …”

Conformal nets IV: the 3-category by Bartels, A, Douglas, C, Henriques, A

“…This 3-category encodes the algebraic structure of the possible interactions among conformal field theories. …”

Conformal nets and local field theory by Douglas, C, Bartels, A, Henriques, A

“…Altogether we characterize the algebraic structure of the collection of conformal nets as a symmetric monoidal tricategory. …”

Unraveling the holomorphic twist: central charges by Bomans, P, Wu, J

“…We investigate the algebraic structure underlying the holomorphic twist of N = 1 superconformal field theories in four dimensions. …”

Custom hypergraph categories via generalized relations by Marsden, D, Genovese, F

“…Our framework generalizes the notion of binary relation along four axes of variation, the truth values, a choice of algebraic structure, the ambient mathematical universe and the choice of proof relevance or provability. …”

Preconditioning techniques for Newton's method for the incompressible Navier-Stokes equations by Elman, H, Loghin, D, Wathen, A

“…The first is a block preconditioner which is based on the algebraic structure of the system matrix. The other approach uses also a block preconditioner which is derived by considering the underlying partial differential operator matrix. …”

An Exact Formulation of the Time-Ordered Exponential using Path-Sums by Giscard, P, Lui, K, Thwaite, S, Jaksch, D

“…Our result is based on a representation of the time-ordered exponential as the inverse of an operator, the mapping of this inverse to sums of walks on graphs and the algebraic structure of sets of walks. We give examples demonstrating our approach. …”