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There is a page named "Geometric class field theory" on Wikipedia
- geometric class field theory is an extension of class field theory to higher-dimensional geometrical objects: much the same way as class field theory...894 bytes (97 words) - 14:17, 21 September 2016
Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties...38 KB (4,308 words) - 13:31, 7 April 2024- In mathematics, geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli...17 KB (2,272 words) - 02:27, 26 December 2023
- In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes...27 KB (3,775 words) - 11:40, 24 July 2024
In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, do not change under local transformations...47 KB (6,757 words) - 00:00, 10 April 2024- geometric algebra. Geometric calculus, an extension of GA that incorporates differentiation and integration, can be used to formulate other theories such...93 KB (13,928 words) - 02:55, 21 July 2024
siblings of the field of rational numbers, are studied in depth in number theory. Function fields can help describe properties of geometric objects. Informally...86 KB (10,288 words) - 08:55, 28 July 2024
conjectures on class field theory. The concepts were highly influential, and his own contribution lives on in the names of the Hilbert class field and of the...40 KB (5,798 words) - 13:01, 5 July 2024- Glossary of arithmetic and diophantine geometry (redirect from Arakelov class group)analogies with elliptic curves over number fields. Geometric class field theory The extension of class field theory-style results on abelian coverings to varieties...37 KB (4,753 words) - 14:39, 23 July 2024
- gauge theory and geometric analysis. These equations are often physically meaningful, corresponding to important concepts in quantum field theory or string...72 KB (11,468 words) - 14:27, 13 June 2024
- Topos (redirect from Geometric morphism)elementary topoi are used in logic. The mathematical field that studies topoi is called topos theory. Since the introduction of sheaves into mathematics...32 KB (4,267 words) - 09:31, 11 July 2024
- arithmetic variety X, or some related geometric object, can help to recover X. The first results for number fields and their absolute Galois groups were...11 KB (1,236 words) - 09:40, 4 August 2024
In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms. For example, the series...69 KB (10,679 words) - 11:58, 28 May 2024
investigations further by creating the theory of permutation groups. The second historical source for groups stems from geometrical situations. In an attempt to...40 KB (5,204 words) - 12:00, 26 May 2024- Algebraic geometry code (redirect from Algebraic Geometric Coding Theory)have also been referred to as geometric Goppa codes; however, this is no longer the standard term used in coding theory literature. This is due to the...11 KB (1,586 words) - 20:31, 14 February 2024
- mathematical field of model theory, a theory is called stable if it satisfies certain combinatorial restrictions on its complexity. Stable theories are rooted...30 KB (3,633 words) - 20:03, 4 October 2023
- Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and...76 KB (10,382 words) - 14:54, 23 June 2024
- proof-theoretically tractable. Geometric logic is capable of expressing many mathematical theories and has close connections to topos theory. A theory of first-order...4 KB (591 words) - 06:17, 4 June 2024
- Cohomology (redirect from Cohomology theory)Cohomology theories in a broader sense (invariants of other algebraic or geometric structures, rather than of topological spaces) include: Algebraic K-theory André–Quillen...43 KB (6,691 words) - 21:02, 23 March 2024
- Development of Geometric Methods by Jean-Gaston Darboux 1422785Popular Science Monthly Volume 66 March 1905 — A Study of the Development of Geometric Methods1905Jean-Gaston
- ...Higher plane curves were studied only sporadically... Geometric algebra and the theory of proportions were carried over into modern times as inert
- Manifolds are studied outside of geometric topology; the approaches and theories vary significantly between fields. Relaxing the point-set conditions