List Of Things Named After André Weil

These are things named after

André Weil André Weil (; ; 6 May 1906 – 6 August 1998) was a French mathematician, known for his foundational work in number theory and algebraic geometry. He was one of the most influential mathematicians of the twentieth century. His influence is du ...

(1906 – 1998), a French mathematician. *

Bergman–Weil formula In mathematics, the Bergman–Weil formula is an integral representation for holomorphic functions of several variables generalizing the Cauchy integral formula. It was introduced by and . Weil domains A Weil domain is an analytic polyhedron wi ...

* Borel–Weil theorem *

Chern–Weil homomorphism In mathematics, the Chern–Weil homomorphism is a basic construction in Chern–Weil theory that computes topological invariants of vector bundles and principal bundles on a smooth manifold ''M'' in terms of connections and curvature representing ...

* Chern–Weil theory * De Rham–Weil theorem *

Weil's explicit formula In mathematics, the explicit formulae for L-functions are relations between sums over the complex number zeroes of an L-function and sums over prime powers, introduced by for the Riemann zeta function. Such explicit formulae have been applie ...

* Hasse-Weil bound *

Hasse–Weil zeta function In mathematics, the Hasse–Weil zeta function attached to an algebraic variety ''V'' defined over an algebraic number field ''K'' is a meromorphic function on the complex plane defined in terms of the number of points on the variety after reducing ...

, and the related Hasse–Weil L-function *

Mordell–Weil group In arithmetic geometry, the Mordell–Weil group is an abelian group associated to any abelian variety A defined over a number field K. It is an arithmetic invariant of the Abelian variety. It is simply the group of K-points of A, so A(K) is the Mo ...

Mordell–Weil theorem In mathematics, the Mordell–Weil theorem states that for an abelian variety A over a number field K, the group A(K) of ''K''-rational points of A is a finitely-generated abelian group, called the Mordell–Weil group. The case with A an ellip ...

Oka–Weil theorem In mathematics, especially the theory of several complex variables, the Oka–Weil theorem is a result about the uniform convergence of holomorphic functions on Stein spaces due to Kiyoshi Oka and André Weil. Statement The Oka–Weil theorem sta ...

Siegel–Weil formula In mathematics, the Siegel–Weil formula, introduced by as an extension of the results of , expresses an Eisenstein series as a weighted average of theta series of lattices in a genus, where the weights are proportional to the inverse of the ord ...

Shafarevich–Weil theorem In algebraic number theory, the Shafarevich–Weil theorem relates the fundamental class of a Galois extension of local or global fields to an extension of Galois groups. It was introduced by for local fields and by for global fields. Statement ...

Taniyama–Shimura–Weil conjecture In number theory, the modularity theorem states that elliptic curves over the field of rational numbers are related to modular forms in a particular way. Andrew Wiles and Richard Taylor proved the modularity theorem for semistable elliptic c ...

, now proved as the modularity theorem * Weil algebra * Weil–Brezin Map *

Weil–Châtelet group In arithmetic geometry, the Weil–Châtelet group or WC-group of an algebraic group such as an abelian variety ''A'' defined over a field ''K'' is the abelian group of principal homogeneous spaces for ''A'', defined over ''K''. named it for who ...

* Weil cohomology * Weil conjecture (disambiguation) *

Weil conjectures In mathematics, the Weil conjectures were highly influential proposals by . They led to a successful multi-decade program to prove them, in which many leading researchers developed the framework of modern algebraic geometry and number theory. Th ...

Weil conjecture on Tamagawa numbers In mathematics, the Weil conjecture on Tamagawa numbers is the statement that the Tamagawa number \tau(G) of a simply connected simple algebraic group defined over a number field is 1. In this case, ''simply connected'' means "not having a proper ' ...

Weil's criterion In mathematics, Weil's criterion is a criterion of André Weil for the Generalized Riemann hypothesis to be true. It takes the form of an equivalent statement, to the effect that a certain generalized function is positive definite. Weil's idea was ...

Weil–Deligne group scheme In mathematics, a Weil group, introduced by , is a modification of the absolute Galois group of a local or global field, used in class field theory. For such a field ''F'', its Weil group is generally denoted ''WF''. There also exists "finite leve ...

Weil distribution Weil may refer to: Places in Germany *Weil, Bavaria *Weil am Rhein, Baden-Württemberg *Weil der Stadt, Baden-Württemberg *Weil im Schönbuch, Baden-Württemberg Other uses * Weil (river), Hesse, Germany * Weil (surname), including people with ...

Weil divisor In algebraic geometry, divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil by David Mumfo ...

Weil group In mathematics, a Weil group, introduced by , is a modification of the absolute Galois group of a local or global field, used in class field theory. For such a field ''F'', its Weil group is generally denoted ''WF''. There also exists "finite leve ...

* Weil height *

Weil number Weil may refer to: Places in Germany *Weil, Bavaria *Weil am Rhein, Baden-Württemberg *Weil der Stadt, Baden-Württemberg *Weil im Schönbuch, Baden-Württemberg Other uses * Weil (river), Hesse, Germany * Weil (surname), including people with ...

Weil pairing In mathematics, the Weil pairing is a pairing (bilinear form, though with multiplicative notation) on the points of order dividing ''n'' of an elliptic curve ''E'', taking values in ''n''th roots of unity. More generally there is a similar Weil ...

Weil–Petersson metric In mathematics, the Weil–Petersson metric is a Kähler metric on the Teichmüller space ''T'g'',''n'' of genus ''g'' Riemann surfaces with ''n'' marked points. It was introduced by using the Petersson inner product on forms on a Riemann surfac ...

* Weil reciprocity law * Weil representation * Weil restriction {{DEFAULTSORT:List of things named after Andre Weil Weil