# Tags

A tag is a keyword or label that categorizes your question with other, similar questions. Using the right tags makes it easier for others to find and answer your question.

Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices…
820 questions
Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
809 questions
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
803 questions
Convex polytopes are the convex hulls of a finite set of points in Euclidean spaces. They have rich combinatorial, arithmetic, and metrical theory, and are related to toric varieties and to linear pr…
802 questions
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
797 questions
computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, …
791 questions
784 questions
Given a concrete category C, with objects denoted Obj(C), and an equivalence relation ~ on Obj(C) given by morphisms in C. The moduli set for Obj(C) is the set of equivalence classes with respect to …
774 questions
Knot theory is dealing with embedding of curves in manifolds of dimension 3. A knot is a single circle embedded in the affine space of dimension 3 as a smooth curve not crossing itself. Many knot inva…
773 questions
Asymptotic behavior of functions, asymptotic series and related topics
763 questions
Questions of the kind "What's the name for a X that satisfies property Y?"
762 questions
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
756 questions
Forcing is a method first used to prove the continuum hypothesis is independent of the classical axioms of set theory
753 questions
Large scale properties of groups; growth functions; Dehn functions; small cancellation properties; hyperbolicity and CAT(0); actions and representations; combinatorial group theory; presentations
746 questions
Stochastic calculus provides a consistent theory of integration for stochastic processes and is used to model random systems. Its applications range from statistical physics to quantitative finance.
732 questions
Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory
727 questions
Diophantine equations are polynomial equations $F=0$, or systems of polynomial equations $F_1=\ldots=F_k=0$, where $F,F_1,\ldots,F_k$ are polynomials in either $\mathbb{Z}[X_1,\ldots,X_n]$ of $\mathbb… 712 questions In mathematics, group cohomology is a set of mathematical tools used to study groups using cohomology theory, a technique from algebraic topology. Analogous to group representations, group cohomology … 709 questions A C*-algebra is a complex Banach algebra together with an isometric antilinear involution satisfying (a b)* = b* a* and the C*-identity ‖a* a‖ = ‖a‖². Related tags: [banach-algebras], [von-neumann-al… 694 questions 691 questions Many special functions appear as solutions of differential equations or integrals of elementary functions. Most special functions have relationships with representation theory of Lie groups. 690 questions Abelian varieties are projective algebraic varieties endowed with an Abelian group structure. Over the complex numbers, they can be described as quotients of a vector space by a lattice of full rank. … 683 questions Statistics of spectral properties of matrix-valued random variables. 674 questions Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is,… 662 questions Optimization with convex constraints and convex objectives; notions related to convex optimization such as sub-gradients, normal cones, separating hyperplanes 660 questions For questions about simplicial sets, simplicial (co)algebras and simplicial objects in other categories; geometric realization, Dold-Kan correspondence, simplicial resolutions etc. 657 questions A finite field is a field with a finite number of elements. For each prime power$q^k$, there is a unique (up to isomorphism) finite field with$q^k$elements. Up to isomorphism, these are the only … 644 questions An automorphic form is a well-behaved function from a topological group$G$to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup$\Gamma \subset …
640 questions
eigenvalues of matrices or operators
634 questions
623 questions
The first purpose of schemes theory is the geometrical study of solutions of algebraic systems of equations, not only over the real/complex numbers, but also over integer numbers (and more generally o…
616 questions
For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.
613 questions
A model category is a category equipped with notions of weak equivalences, fibrations and cofibrations allowing to run arguments similar to those of classical homotopy theory.
610 questions
A topological group is a group $G$ together with a topology on the elements of $G$ such that the group operation and group inverse function are both continuous (with respect to the topology).
603 questions
The study of the properties of real and complex matrices that are more close to analysis and operator theory. For instance: the properties of positive definite matrices, matrix inequalities, perturbat…
599 questions
for questions about etale cohomology of schemes, including foundational material and applications.
593 questions