In mathematics, a Weil group, introduced by Weil (1951), is a modification of the absolute Galois group of a local or global field, used in class field...

own works as well as through the Bourbaki group, of which he was one of the principal founders. André Weil was born in Paris to agnostic Alsatian Jewish...

In arithmetic geometry, the Mordell–Weil group is an abelian group associated to any abelian variety A {\displaystyle A} defined over a number field K...

ramification group. If K is a local or global field, the theory of class formations attaches to K its Weil group WK, a continuous group homomorphism φ :...

with homomorphisms of the Weil group to GL1(C). This gives the Langlands correspondence between homomorphisms of the Weil group to GL1(C) and irreducible...

explanation needed] provides a basis (up to torsion) for the Mordell–Weil group of an elliptic surface E → S, where S is isomorphic to the projective...

mathematics, the Mordell–Weil theorem states that for an abelian variety A {\displaystyle A} over a number field K {\displaystyle K} , the group A ( K ) {\displaystyle...

Langlands group is a conjectural group LF attached to each local or global field F, that satisfies properties similar to those of the Weil group. It was...

group of k by a complex Lie group. There is also a variation called the Weil form of the L-group, where the Galois group is replaced by a Weil group....

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...