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EQUIVARIANT L-FUNCTION

  • Equivariant L-function
  • equivariant Artin L-function is a function associated to a finite Galois extension of global fields created by packaging together the various Artin L-functions

    Equivariant L-function

    Equivariant_L-function

  • Artin L-function
  • Type of Dirichlet series associated to number field extensions

    Hilbert's twelfth problem. Equivariant L-function Perlis 2001. Martinet 1977, p. 18. Artin, E. (1923). "Über eine neue Art von L Reihen". Hamb. Math. Abh

    Artin L-function

    Artin_L-function

  • Special values of L-functions
  • Subfield of number theory

    In mathematics, the study of special values of L-functions is a subfield of number theory devoted to generalising formulae such as the Leibniz formula

    Special values of L-functions

    Special_values_of_L-functions

  • Dedekind zeta function
  • Generalization of the Riemann zeta function for algebraic number fields

    Society, pp. 517–525, ISBN 978-0-8218-1635-6 Flach, Mathias (2004), "The equivariant Tamagawa number conjecture: a survey", in Burns, David; Popescu, Christian;

    Dedekind zeta function

    Dedekind_zeta_function

  • Invariant estimator
  • estimates to change in appropriate ways with such transformations. The term equivariant estimator is used in formal mathematical contexts that include a precise

    Invariant estimator

    Invariant_estimator

  • Machine-learned interatomic potential
  • Interatomic potentials constructed by machine learning programs

    significant limitation of early MPNNs was that they were not inherently equivariant to rotations and reflections of atomic structures — meaning predictions

    Machine-learned interatomic potential

    Machine-learned_interatomic_potential

  • Brumer–Stark conjecture
  • ramify in K/k. The S-imprimitive equivariant Artin L-function θ(s) is obtained from the usual equivariant Artin L-function by removing the Euler factors

    Brumer–Stark conjecture

    Brumer–Stark_conjecture

  • Representation theory
  • Branch of mathematics that studies abstract algebraic structures

    and ψ {\displaystyle \psi } of a group G {\displaystyle G} , then an equivariant map from V {\displaystyle V} to W {\displaystyle W} is a linear map α

    Representation theory

    Representation theory

    Representation_theory

  • Attention (machine learning)
  • Machine learning technique

    \mathbb {R} ^{m\times n}} an arbitrary matrix. The softmax function is permutation equivariant in the sense that: softmax ( A D B ) = A softmax ( D ) B

    Attention (machine learning)

    Attention (machine learning)

    Attention_(machine_learning)

  • Cohomology of a stack
  • counterpart of equivariant cohomology. For example, Borel's theorem states that the cohomology ring of a classifying stack is a polynomial ring. l-adic sheaf

    Cohomology of a stack

    Cohomology_of_a_stack

  • Curtis–Hedlund–Lyndon theorem
  • previous position: that is, for every integer i, yi = xi − 1. A function f is equivariant under the shift map if the transformation on configurations described

    Curtis–Hedlund–Lyndon theorem

    Curtis–Hedlund–Lyndon_theorem

  • Graph neural network
  • Class of artificial neural networks

    their nodes, GNN architectures are commonly designed to be permutation equivariant: reordering the nodes in the input reorders the corresponding node representations

    Graph neural network

    Graph_neural_network

  • Outer space (mathematics)
  • trees are Fn-equivariantly isometric. Hence the map T ↦ T {\displaystyle T\mapsto \ell _{T}} from Xn to the set of R-valued functions on Fn is injective

    Outer space (mathematics)

    Outer_space_(mathematics)

  • Cross-correlation
  • Covariance and correlation

    space to kernel space. Cross-correlation is equivariant to translation; kernel cross-correlation is equivariant to any affine transforms, including translation

    Cross-correlation

    Cross-correlation

    Cross-correlation

  • Glossary of areas of mathematics
  • This is usually done by means of intersection theory. Epidemiology Equivariant noncommutative algebraic geometry Ergodic Ramsey theory a branch where

    Glossary of areas of mathematics

    Glossary_of_areas_of_mathematics

  • Laplace operator
  • Differential operator in mathematics

    {\displaystyle 0} ) and then applying the ordinary Laplacian. The Laplacian is equivariant under pullback by every Euclidean transformation. More precisely, if

    Laplace operator

    Laplace_operator

  • Cristian Dumitru Popescu
  • Romanian-American mathematician

    formulated equivariant versions of Iwasawa's main conjecture over function fields and number fields, proving unconditionally the function field version

    Cristian Dumitru Popescu

    Cristian_Dumitru_Popescu

  • Connection (principal bundle)
  • Concept in mathematics

    {\displaystyle P\times ^{G}W} over M is isomorphic to the space of G-equivariant W-valued functions on P. More generally, the space of k-forms with values in P

    Connection (principal bundle)

    Connection_(principal_bundle)

  • Ham sandwich theorem
  • Theorem that any three objects in space can be simultaneously bisected by a plane

    attributed there to Stefan Banach, for the n = 3 case. In the field of Equivariant topology, this proof would fall under the configuration-space/tests-map

    Ham sandwich theorem

    Ham_sandwich_theorem

  • Sheffer sequence
  • Type of polynomial sequence

    defined is shift-equivariant; such a Q is then a delta operator. Here, we define a linear operator Q on polynomials to be shift-equivariant if, whenever f(x)

    Sheffer sequence

    Sheffer_sequence

  • Induced representation
  • Process of extending a representation of a subgroup to the parent group

    and ρ of G, the space of H-equivariant linear maps from σ to Res(ρ) has the same dimension over K as that of G-equivariant linear maps from Ind(σ) to

    Induced representation

    Induced_representation

  • Morton L. Curtis
  • American mathematician

    characterizing cellular automata as being defined by continuous equivariant functions on a shift space. Curtis was the author of two books, Matrix Groups

    Morton L. Curtis

    Morton_L._Curtis

  • Genus of a multiplicative sequence
  • Ring homomorphism from the cobordism ring of manifolds to another ring

    2}{2G_{2k}(\tau )z^{2k} \over (2k)!}\right)} where σL is the Weierstrass sigma function for the lattice L, and G is a multiple of an Eisenstein series. The

    Genus of a multiplicative sequence

    Genus of a multiplicative sequence

    Genus_of_a_multiplicative_sequence

  • Capsule neural network
  • Type of artificial neural network

    However, many other properties are instead equivariant. The volume of a cat changes when it is scaled. Equivariant properties such as a spatial relationship

    Capsule neural network

    Capsule_neural_network

  • K-theory
  • Branch of mathematics

    Chern character is used in the Hirzebruch–Riemann–Roch theorem. The equivariant algebraic K-theory is an algebraic K-theory associated to the category

    K-theory

    K-theory

  • Pierre Deligne
  • Belgian mathematician

    important results on the l-adic representations attached to modular forms, and the conjectural functional equations of L-functions. Deligne also focused

    Pierre Deligne

    Pierre Deligne

    Pierre_Deligne

  • Principal bundle
  • Fiber bundle whose fibers are group torsors

    that the equivariant local trivializations of a principal bundle are in one-to-one correspondence with local sections. Given an equivariant local trivialization

    Principal bundle

    Principal_bundle

  • Hecke algebra of a finite group
  • ) {\displaystyle H=\operatorname {End} _{G}(V)} is the algebra of G-equivariant endomorphisms of V. For each irreducible representation W {\displaystyle

    Hecke algebra of a finite group

    Hecke_algebra_of_a_finite_group

  • Maximum likelihood estimation
  • Method of estimating the parameters of a statistical model, given observations

    gives a real-valued function, L n ( θ ) = L n ( θ ; y ) = f n ( y ; θ ) , {\displaystyle {\mathcal {L}}_{n}(\theta )={\mathcal {L}}_{n}(\theta ;\mathbf

    Maximum likelihood estimation

    Maximum_likelihood_estimation

  • Michael Atiyah
  • British-Lebanese mathematician (1929–2019)

    (discrete series representations), Graeme Segal (equivariant K-theory), Alexander Shapiro (Clifford algebras), L. Smith (homotopy groups of spheres), Paul Sutcliffe

    Michael Atiyah

    Michael Atiyah

    Michael_Atiyah

  • Convolutional neural network
  • Type of feedforward neural network

    kernels or filters that slide along input features and provide translation-equivariant responses known as feature maps. Counter-intuitively, most convolutional

    Convolutional neural network

    Convolutional_neural_network

  • Baum–Connes conjecture
  • Conjecture linking two mathematical areas

    }})\to K_{*}(C_{r}^{*}(\Gamma )),} called the assembly map, from the equivariant K-homology with Γ {\displaystyle \Gamma } -compact supports of the classifying

    Baum–Connes conjecture

    Baum–Connes conjecture

    Baum–Connes_conjecture

  • Loop group
  • Mathematical group of loops in a Lie group

    twisted equivariant K-theory, and this construction is one of the ingredients in their identification of the Verlinde ring with twisted equivariant K-theory

    Loop group

    Loop group

    Loop_group

  • Riesz transform
  • Type of singular integral operator

    The final transformation property asserts that the Riesz transform is equivariant with respect to these two actions; that is, ρ ∗ R j [ ( ρ − 1 ) ∗ f ]

    Riesz transform

    Riesz_transform

  • Haar measure
  • Left-invariant (or right-invariant) measure on locally compact topological group

    a location parameter results in the Pitman estimator, which is best equivariant. When left and right Haar measures differ, the right measure is usually

    Haar measure

    Haar_measure

  • Yoneda lemma
  • Embedding of categories into functor categories

    between such functors is the same thing as an equivariant map between G {\displaystyle G} -sets: a set function α : X → Y {\displaystyle \alpha \colon X\to

    Yoneda lemma

    Yoneda_lemma

  • Mathai–Quillen formalism
  • Formalism for Thom class representation in differential geometry

    Varghese; Quillen, Daniel (1986), "Superconnections, Thom classes, and equivariant differential forms", Topology, 25 (1): 85–110, doi:10.1016/0040-9383(86)90007-8

    Mathai–Quillen formalism

    Mathai–Quillen_formalism

  • Lehmann–Scheffé theorem
  • Theorem in statistics

    {X_{(n)}}{1+k}}} The model is a scale model. Optimal equivariant estimators can then be derived for loss functions that are invariant. Completeness (statistics)

    Lehmann–Scheffé theorem

    Lehmann–Scheffé_theorem

  • Noncommutative algebraic geometry
  • Branch of mathematics

    Mathématique de France 90 (1962), p. 323-448, numdam Zoran Škoda, Some equivariant constructions in noncommutative algebraic geometry, Georgian Mathematical

    Noncommutative algebraic geometry

    Noncommutative_algebraic_geometry

  • Matthias Flach (mathematician)
  • German mathematician

    motives – Matthias Flach and D. Burns, King's College London On the Equivariant Tamagawa Number Conjecture for Tate Motives, Part II. (2006) – Burns

    Matthias Flach (mathematician)

    Matthias_Flach_(mathematician)

  • Glossary of arithmetic and diophantine geometry
  • though it has had heuristic value over many years. Now a sophisticated equivariant Tamagawa number conjecture is a major research problem. Tate conjecture

    Glossary of arithmetic and diophantine geometry

    Glossary_of_arithmetic_and_diophantine_geometry

  • Group action
  • Transformations induced by a mathematical group

    X to Y is a function f : X → Y such that f(g⋅x) = g⋅f(x) for all g in G and all x in X. Morphisms of G-sets are also called equivariant maps or G-maps

    Group action

    Group action

    Group_action

  • Differentiable manifold
  • Manifold upon which it is possible to perform calculus

    is useful because tensor fields on M can be regarded as equivariant vector-valued functions on F(M). On a manifold that is sufficiently smooth, various

    Differentiable manifold

    Differentiable manifold

    Differentiable_manifold

  • Pooling layer
  • Architectural motif in neural networks for aggregating information

    {A} )} where GNN {\displaystyle {\text{GNN}}} is a generic permutation equivariant GNN layer (e.g., GCN, GAT, MPNN). The Self-attention pooling layer can

    Pooling layer

    Pooling_layer

  • Associated bundle
  • Fiber bundle

    That is, between any two constructions, there is a G {\displaystyle G} -equivariant bundle isomorphism. This is also called a gauge transformation. This

    Associated bundle

    Associated_bundle

  • Hahn–Banach theorem
  • Theorem on extension of bounded linear functionals

    ISBN 978-1-4612-7155-0. OCLC 840278135. Schmitt, Lothar M (1992). "An Equivariant Version of the Hahn–Banach Theorem". Houston J. Of Math. 18: 429–447

    Hahn–Banach theorem

    Hahn–Banach_theorem

  • Group representation
  • Group homomorphism into the general linear group over a vector space

    two representations ρ : G → GL(V) and π : G → GL(W) (also called an equivariant map) is a linear map α : V → W such that α ∘ ρ ( g ) = π ( g ) ∘ α .

    Group representation

    Group representation

    Group_representation

  • Maass wave form
  • Complex-valued smooth functions of the upper half plane (harmonic analysis topic)

    smooth functions of the upper half plane, which transform in a similar way under the operation of a discrete subgroup Γ {\displaystyle \Gamma } of S L 2 (

    Maass wave form

    Maass_wave_form

  • Topology
  • Branch of mathematics

    Mathematics portal Characterizations of the category of topological spaces Equivariant topology List of algebraic topology topics List of examples in general

    Topology

    Topology

    Topology

  • Median
  • Middle quantile of a data set or probability distribution

    -x_{n}\right\|_{2}} In contrast to the marginal median, the geometric median is equivariant with respect to Euclidean similarity transformations such as translations

    Median

    Median

    Median

  • AlphaFold
  • Artificial intelligence program by DeepMind

    abstract (December 2020) The structure module is stated to use a "3-d equivariant transformer architecture" (John Jumper et al. (1 December 2020), AlphaFold

    AlphaFold

    AlphaFold

    AlphaFold

  • Glossary of representation theory
  • algebra of a Lie algebra. category of representations Representations and equivariant maps between them form a category of representations. character 1.  A

    Glossary of representation theory

    Glossary_of_representation_theory

  • Glossary of algebraic geometry
  • last nonzero term is the tangent sheaf, is called the Euler sequence. equivariant intersection theory See Chapter II of http://www.math.ubc.ca/~behrend/cet

    Glossary of algebraic geometry

    Glossary_of_algebraic_geometry

  • Rao–Blackwell theorem
  • Statistical theorem

    {X_{(n)}}{1+k}}} The model is a scale model. Optimal equivariant estimators can then be derived for loss functions that are invariant. Basu's theorem — Another

    Rao–Blackwell theorem

    Rao–Blackwell_theorem

  • Chow group of a stack
  • Concept in algebraic geometry

    ] {\displaystyle X=[Y/G]} , the Chow group of X is the same as the G-equivariant Chow group of Y. A key difference from the theory of Chow groups of a

    Chow group of a stack

    Chow_group_of_a_stack

  • Sobolev spaces for planar domains
  • annulus: For an annulus I × T, the extension map to T2 is by construction equivariant with respect to rotations in the second variable, R t f ( x , y ) = f

    Sobolev spaces for planar domains

    Sobolev_spaces_for_planar_domains

  • Arboreal Galois representation
  • Mathematical arithmetic dynamics function

    1007/BF01197321. S2CID 122514918. Ferraguti, Andrea; Micheli, Giacomo (2020). "An equivariant isomorphism theorem for mod p {\displaystyle {\mathfrak {p}}} reductions

    Arboreal Galois representation

    Arboreal_Galois_representation

  • Hitchin system
  • Type of integrable system

    \chi } is equivariant with respect to the G m {\displaystyle \mathbb {G} _{m}} -actions. Therefore, given any line bundle L {\displaystyle L} on our curve

    Hitchin system

    Hitchin_system

  • Binding site
  • Molecule-specific coordinate bonding area in biological systems

    PMID 27796788. S2CID 6705144. Sestak F, Schneckenreiter L, Hochreiter S, Mayr A, Klambauer G. "VN-EGNN: Equivariant Graph Neural Networks with Virtual Nodes Enhance

    Binding site

    Binding site

    Binding_site

  • Stein's example
  • Phenomenon in decision theory and estimation theory

    best linear unbiased estimation, least squares estimation and optimal equivariant estimation, all result in the "ordinary" estimator. Yet, as discussed

    Stein's example

    Stein's_example

  • Atiyah–Singer index theorem
  • Mathematical result in differential geometry

    with the elliptic operator, then one replaces ordinary K-theory with equivariant K-theory. Moreover, one gets generalizations of the Lefschetz fixed-point

    Atiyah–Singer index theorem

    Atiyah–Singer_index_theorem

  • Floer homology
  • Symplectic topology tool

    This approach was the basis of Manolescu's 2013 construction of Pin (2)-equivariant Seiberg–Witten Floer homology, with which he disproved the Triangulation

    Floer homology

    Floer homology

    Floer_homology

  • Representation theory of finite groups
  • Representations of finite groups, particularly on vector spaces

    or an equivariant map. The kernel, the image and the cokernel of T {\displaystyle T} are defined by default. The composition of equivariant maps is

    Representation theory of finite groups

    Representation_theory_of_finite_groups

  • Tensor
  • Algebraic object with geometric applications

    {\text{GL}}(W)} ). Then a tensor of type ρ {\displaystyle \rho } is an equivariant map T : F → W {\displaystyle T:F\to W} . Equivariance here means that

    Tensor

    Tensor

    Tensor

  • Hans Duistermaat
  • Dutch mathematician (1942–2010)

    formula, which will later be placed in the more general framework of equivariant cohomology, independently by Berline and Vergne and by Atiyah and Bott

    Hans Duistermaat

    Hans Duistermaat

    Hans_Duistermaat

  • Geodesic
  • Straight path on a curved surface or a Riemannian manifold

    deleted tangent bundle TM \ {0}) it is enough that the connection be equivariant under positive rescalings, that is, it is enough that, if w ∈ T x M {\displaystyle

    Geodesic

    Geodesic

    Geodesic

  • Differential form
  • Expression that may be integrated over a region

    differential forms Complex differential form Vector-valued differential form Equivariant differential form Calculus on Manifolds Multilinear form Polynomial differential

    Differential form

    Differential_form

  • Frame bundle
  • Principal bundle associated to a vector bundle

    {\displaystyle M} together with a G {\displaystyle G} -equivariant bundle map F G ( M ) → F G L ( M ) {\displaystyle {\mathrm {F} }_{G}(M)\to {\mathrm

    Frame bundle

    Frame bundle

    Frame_bundle

  • Geometric invariant theory
  • Concept in algebraic geometry

    1980s the theory developed interactions with symplectic geometry and equivariant topology, and was used to construct moduli spaces of objects in differential

    Geometric invariant theory

    Geometric_invariant_theory

  • Cannon–Thurston map
  • mathematics, a Cannon–Thurston map is any of a number of continuous group-equivariant maps between the boundaries of two hyperbolic metric spaces extending

    Cannon–Thurston map

    Cannon–Thurston_map

  • N-body choreography
  • Periodic solution to the n-body problem

    groups. The second part of their study involves the development of the equivariant fundamental group, which is employed to identify the topology of the

    N-body choreography

    N-body_choreography

  • Glossary of algebraic topology
  • Mathematics glossary

    Eilenberg–Zilber theorem elliptic elliptic cohomology. En-algebra equivariant algebraic topology Equivariant algebraic topoloy is the study of spaces with (continuous)

    Glossary of algebraic topology

    Glossary_of_algebraic_topology

  • K-stability
  • Algebro-geometric stability condition

    where n = dim ⁡ X {\displaystyle n=\dim X} . This can be seen using an equivariant Riemann-Roch theorem. Recall that the Hilbert polynomial P ( k ) {\displaystyle

    K-stability

    K-stability

  • Giovanni Felder
  • Swiss physicist and mathematician

    Oct 25, 2013. "Giovanni Felder - Elliptic quantum groups and elliptic equivariant cohomology". YouTube. Institut des Hautes Études Scientifiques (IHES)

    Giovanni Felder

    Giovanni Felder

    Giovanni_Felder

  • Analytic torsion
  • Topological invariant of manifolds that can distinguish homotopy-equivalent manifolds

    -M.; Zhang, W. (1994-03-01), "Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle", Geometric & Functional Analysis

    Analytic torsion

    Analytic_torsion

  • Annals of Mathematics Studies
  • Graduate-level textbooks in mathematics

    Values of Rankin-Selberg L-Functions Günter Harder, A. Raghuram 2019-12-03 240 9780691197890 204 Introductory Lectures on Equivariant Cohomology Loring W.

    Annals of Mathematics Studies

    Annals_of_Mathematics_Studies

  • Distance correlation
  • Statistical measure

    scale equivariant and rotation invariant measure that doesn't go to zero for dependent variables. One interpretation of the characteristic function definition

    Distance correlation

    Distance correlation

    Distance_correlation

  • Varghese Mathai
  • section. Its universal representative is obtained using the machinery of equivariant differential forms.[citation needed] Mathai was awarded the Australian

    Varghese Mathai

    Varghese Mathai

    Varghese_Mathai

  • Quadric (algebraic geometry)
  • Subspace defined by a polynomial of degree 2 over a field

    {OGr} _{+}(m+1,2m+2)} .) To explain the name: the smallest SO(2m + 1)-equivariant projective embedding of W lands in projective space of dimension 2 m

    Quadric (algebraic geometry)

    Quadric (algebraic geometry)

    Quadric_(algebraic_geometry)

  • Force field (chemistry)
  • Concept on molecular modeling

    many-body expansion of the total potential energy with rotationally equivariant representations of the system. ANI (Artificial Narrow Intelligence) is

    Force field (chemistry)

    Force field (chemistry)

    Force_field_(chemistry)

  • Scale space
  • Framework for multi-scale signal representation

    L ~ v 2 = L x 2 L x x + 2 L x L y L x y + L y 2 L y y = 0 {\displaystyle {\tilde {L}}_{v}^{2}=L_{x}^{2}\,L_{xx}+2\,L_{x}\,L_{y}\,L_{xy}+L_{y}^{2}\,L_{yy}=0}

    Scale space

    Scale_space

  • Borel–Weil–Bott theorem
  • Basic result in the representation theory of Lie groups

    G-equivariant holomorphic line bundle Lλ on X and the group G acts on its space of global sections, Γ ( G / B , L λ ) .   {\displaystyle \Gamma (G/B,L_{\lambda

    Borel–Weil–Bott theorem

    Borel–Weil–Bott_theorem

  • Timeline of manifolds
  • Mathematics timeline

    Society. p. ix. ISBN 9780821843284. Manolescu, Ciprian (2016), "Pin(2)-equivariant Seiberg–Witten Floer homology and the Triangulation Conjecture", Journal

    Timeline of manifolds

    Timeline_of_manifolds

  • Gauge theory (mathematics)
  • Study of vector bundles, principal bundles, and fibre bundles

    structures, spurring the development of infinite-dimensional moment maps, equivariant Morse theory, and relations between gauge theory and algebraic geometry

    Gauge theory (mathematics)

    Gauge_theory_(mathematics)

  • Group cohomology
  • Tools for studying groups based on techniques from algebraic topology

    of all G {\displaystyle G} -modules is a category (the morphisms are equivariant group homomorphisms, that is group homomorphisms M {\displaystyle M}

    Group cohomology

    Group_cohomology

  • Invariant theory
  • Mathematical study of invariants under symmetries

    1980s the theory developed interactions with symplectic geometry and equivariant topology, and was used to construct moduli spaces of objects in differential

    Invariant theory

    Invariant_theory

  • Raman spectroscopy
  • Spectroscopic technique

    interatomic potential and generative model. Zihan Zou et al.. Using equivariant graph neural networks to predict molecular polarizabilities and Hessian

    Raman spectroscopy

    Raman spectroscopy

    Raman_spectroscopy

  • Non-negative matrix factorization
  • Algorithms for matrix decomposition

    temporal dimensions, e.g. time signals, images, or video, features that are equivariant w.r.t. shifts along these dimensions can be learned by Convolutional

    Non-negative matrix factorization

    Non-negative_matrix_factorization

  • Chow group
  • Analogs of homology groups for algebraic varieties

    quotients in the latter category and thus it is more natural to consider equivariant Chow groups of algebraic spaces. A much more formidable extension is

    Chow group

    Chow_group

  • Teichmüller space
  • Parametrizes complex structures on a surface

    map from Teichmüller space to the space of Γ {\displaystyle \Gamma } -equivariant solutions to the Beltrami differential equation. These give rise, via

    Teichmüller space

    Teichmüller_space

  • Cohomology
  • Algebraic structure used in topology

    cohomology Crystalline cohomology Cyclic cohomology Deligne cohomology Equivariant cohomology Étale cohomology Ext groups Flat cohomology Floer homology

    Cohomology

    Cohomology

    Cohomology

  • Emil Horozov
  • Bulgarian mathematician (1949–2026)

    Among his best known mathematical works are "Versal deformations of equivariant vector fields for cases of symmetry of order two and three" (Ph.D. thesis

    Emil Horozov

    Emil_Horozov

  • List of women in mathematics
  • mathematician, rector of Jönköping University Megumi Harada, Canadian expert on equivariant symplectic and algebraic geometry Eleonor Harboure (1948–2022), first

    List of women in mathematics

    List_of_women_in_mathematics

  • Vector-valued differential form
  • on F(E). It is not hard to check that this pulled back form is right-equivariant with respect to the natural action of GLk(R) on F(E) × Rk and vanishes

    Vector-valued differential form

    Vector-valued_differential_form

  • Connection (vector bundle)
  • Defines a notion of parallel transport on a bundle

    sections of E {\displaystyle E} are in one-to-one correspondence with right-equivariant maps F ( E ) → R k {\displaystyle {\mathcal {F}}(E)\to \mathbb {R} ^{k}}

    Connection (vector bundle)

    Connection_(vector_bundle)

  • Mirror symmetry conjecture
  • Mathematical conjecture

    Geometry - Cox, Katz On the work of Givental relative to mirror symmetry Equivariant Gromov - Witten Invariants - Givental's original proof for projective

    Mirror symmetry conjecture

    Mirror_symmetry_conjecture

  • Local system
  • Locally constant sheaf of abelian groups on topological space

    deck-transform-invariant sections of L _ {\displaystyle {\underline {L}}} gives a local system on X. Similarly, the deck-transform-ρ-equivariant sections give another

    Local system

    Local_system

  • Geometric median
  • Point minimizing sum of distances to given points

    unique whenever the points are not collinear. The geometric median is equivariant for Euclidean similarity transformations, including translation and rotation

    Geometric median

    Geometric median

    Geometric_median

  • Semisimple representation
  • Representation of a group or algebra that is a direct sum of simple representations

    which is of independent interest: Lemma—Let p:V → W be a surjective equivariant map between representations. If V is semisimple, then p splits; i.e.

    Semisimple representation

    Semisimple_representation

  • Darboux frame
  • Natural moving frame in differential geometry of surfaces

    _{j}^{i}=\phi ^{*}\omega _{j}^{i}.} Since the exterior derivative is equivariant under pullbacks, the following structural equations hold d θ i = − θ

    Darboux frame

    Darboux_frame

AI & ChatGPT searchs for online references containing EQUIVARIANT L-FUNCTION

EQUIVARIANT L-FUNCTION

AI search references containing EQUIVARIANT L-FUNCTION

EQUIVARIANT L-FUNCTION

  • PÁL
  • Male

    Hungarian

    PÁL

    Hungarian form of Greek Paulos, PÁL means "small."

    PÁL

  • Huzuz |
  • Girl/Female

    Muslim

    Huzuz |

    Pl of hazz, Fortune, Good l

    Huzuz |

  • Dhu-L-Jalali
  • Boy/Male

    Indian

    Dhu-L-Jalali

    Lord of majesty and generosity

    Dhu-L-Jalali

  • DANIËL
  • Male

    Dutch

    DANIËL

    , God's judge.

    DANIËL

  • PÓL
  • Male

    Irish

    PÓL

    Irish form of Greek Paulos, PÓL means "small."

    PÓL

  • MÍCHEÁL
  • Male

    Irish

    MÍCHEÁL

    Irish Gaelic form of Greek Michaēl, MÍCHEÁL means "who is like God?"

    MÍCHEÁL

  • Devyani
  • Girl/Female

    Assamese, British, Gujarati, Hindu, Indian, Kannada, Malay, Malayalam, Marathi, Mythological, Oriya, Sindhi, Tamil

    Devyani

    Like a Goddess; Daughter of Shukraacharya; L

    Devyani

  • Tahira
  • Girl/Female

    African, Arabic, Australian, Danish, German, Muslim, Pashtun, Swahili

    Tahira

    Pure; L; Holy; Clean; Dean

    Tahira

  • PÀL
  • Male

    Scottish

    PÀL

    Scottish form of Latin Paulus, PÀL means "small."

    PÀL

  • GAËL
  • Male

    French

    GAËL

    Masculine form of French Gaëlle, GAËL means "holy and generous."

    GAËL

  • Khanaka
  • Boy/Male

    Indian, Sanskrit

    Khanaka

    Miner; L Digger

    Khanaka

  • NJÃ…L
  • Male

    Norwegian

    NJÃ…L

    Norwegian variant form of Scandinavian Njal, NJÃ…L means "champion."

    NJÃ…L

  • NOËL
  • Male

    French

    NOËL

    French name derived from Latin natalis dies, NOËL means "day of birth."

    NOËL

  • RAPHAËL
  • Male

    French

    RAPHAËL

    French form of Hebrew Rephael, RAPHAËL means "healed of God" or "whom God has healed."

    RAPHAËL

  • Huzuz
  • Girl/Female

    Indian

    Huzuz

    Pl of hazz, Fortune, Good l

    Huzuz

  • Ga!l
  • Boy/Male

    Irish

    Ga!l

    Rooster.

    Ga!l

  • PÃ…L
  • Male

    Swedish

    PÃ…L

    Swedish form of Greek Paulos, PÃ…L means "small."

    PÃ…L

  • Dhu-L-Jalali |
  • Boy/Male

    Muslim

    Dhu-L-Jalali |

    Lord of majesty and generosity

    Dhu-L-Jalali |

  • JOËL
  • Male

    French

    JOËL

    French form of Greek Ioel (Hebrew Yowel), JOËL means "Jehovah is God" or "to whom Jehovah is God."

    JOËL

  • KORNÉL
  • Male

    Hungarian

    KORNÉL

    Hungarian form of Roman Latin Cornelius, KORNÉL means "of a horn."

    KORNÉL

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Online names & meanings

  • Aniveshak
  • Boy/Male

    Indian

    Aniveshak

    One who Finds Seeker

  • Janah
  • Girl/Female

    Australian, Czech, Czechoslovakian, Polish

    Janah

    God is Gracious; Similar to John

  • Ekambal
  • Boy/Male

    Hindu, Indian

    Ekambal

    Sky

  • Jethwik | ஜேத்வீக
  • Boy/Male

    Tamil

    Jethwik | ஜேத்வீக

  • Padhraic
  • Boy/Male

    Australian, Irish

    Padhraic

    Noble; Good

  • Hasler
  • Surname or Lastname

    English (Essex) and German (also Häsler)

    Hasler

    English (Essex) and German (also Häsler) : topographic name from Middle English hasel, Middle High German hasel + the English and German agent suffix -er.English : habitational name from Haselour in Staffordshire or Haselor in Warwickshire and Worcestershire, named with Old English hæsel ‘hazel’ + ofer ‘hill’, ‘ridge’.Variant of German Hassler.

  • Kirklea
  • Boy/Male

    British, English

    Kirklea

    From the Church's Meadow

  • Amraj
  • Boy/Male

    Hindu, Indian

    Amraj

    I'm the King

  • JUDIT
  • Female

    Hungarian

    JUDIT

    Hungarian form of Hebrew Yehuwdiyth, JUDIT means "Jewess" or "praised."

  • Anam
  • Boy/Male

    Hindu

    Anam

    Blessing

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Other words and meanings similar to

EQUIVARIANT L-FUNCTION

AI search in online dictionary sources & meanings containing EQUIVARIANT L-FUNCTION

EQUIVARIANT L-FUNCTION

  • Henbit
  • n.

    A weed of the genus Lamium (L. amplexicaule) with deeply crenate leaves.

  • Lallation
  • n.

    An imperfect enunciation of the letter r, in which it sounds like l.

  • L
  • n.

    An extension at right angles to the length of a main building, giving to the ground plan a form resembling the letter L; sometimes less properly applied to a narrower, or lower, extension in the direction of the length of the main building; a wing.

  • Vetchling
  • n.

    Any small leguminous plant of the genus Lathyrus, especially L. Nissolia.

  • Fifty
  • n.

    A symbol representing fifty units, as 50, or l.

  • Lambda
  • n.

    The name of the Greek letter /, /, corresponding with the English letter L, l.

  • L
  • n.

    A short right-angled pipe fitting, used in connecting two pipes at right angles.

  • Marabou
  • n.

    A large stork of the genus Leptoptilos (formerly Ciconia), esp. the African species (L. crumenifer), which furnishes plumes worn as ornaments. The Asiatic species (L. dubius, or L. argala) is the adjutant. See Adjutant.

  • Accuse
  • v. t.

    To betray; to show. [L.]

  • Catechumen
  • L. catechunenus, Gr.

    One who is receiving rudimentary instruction in the doctrines of Christianity; a neophyte; in the primitive church, one officially recognized as a Christian, and admitted to instruction preliminary to admission to full membership in the church.

  • Gasserian
  • a.

    Relating to Casserio (L. Gasserius), the discover of the Gasserian ganglion.

  • Ell
  • n.

    See L.