In mathematics, geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli...

his geometric invariant theory. In large measure due to the influence of Mumford, the subject of invariant theory is seen to encompass the theory of actions...

advanced tools in algebraic geometry and representation theory (i.e., geometric invariant theory) to prove lower bounds for problems. Currently the main...

In algebraic geometry, an affine GIT quotient, or affine geometric invariant theory quotient, of an affine scheme X = Spec ⁡ A {\displaystyle X=\operatorname...

of geometric objects. Part of the theory of group actions is geometric invariant theory, which aims to construct a quotient variety X/G, describing the...

invariant Arf invariant Hopf invariant Invariant theory Framed knot Chern–Simons theory Algebraic geometry Seifert surface Geometric invariant theory...

Simon Donaldson. The definition was inspired by a comparison to geometric invariant theory (GIT) stability. In the special case of Fano varieties, K-stability...

Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties...

in the form of his geometric invariant theory. The representation theory of semisimple Lie groups has its roots in invariant theory and the strong links...

geometry and geometric analysis techniques to construct new invariants of four manifolds, now known as Donaldson invariants. With these invariants, novel results...