Formal & Physical Sciences MathematicsENRepresentation theory: Abelian groupsRichard E BorcherdsSeptember 7, 2020 23 min★ ★ ★ ★ ★ 5/5Representation TheoryAbelian GroupsCharacter Theory
Formal & Physical Sciences MathematicsENRepresentation theory: IntroductionRichard E BorcherdsSeptember 6, 2020 30 min★ ★ ★ ★ ★ 5/5Representation TheoryFinite GroupsCharacter Table
Formal & Physical Sciences MathematicsENp adic numbers part 3: the p-adic gamma functionRichard E BorcherdsSeptember 4, 2020 21 min★ ★ ★ ★ ☆ 4/5P-Adic NumbersGamma FunctionWilson's Theorem
Formal & Physical Sciences MathematicsENp-adic numbers. Part 2: p-adic powersRichard E BorcherdsSeptember 3, 2020 47 min★ ★ ★ ★ ★ 5/5P-Adic NumbersNumber TheoryMathematics
Formal & Physical Sciences MathematicsENp adic numbers. Part 1 of 3: 10-adic integers.Richard E BorcherdsSeptember 3, 2020 36 min★ ★ ★ ★ ★ 5/5P-Adic Numbers10-Adic IntegersNumber Theory
Formal & Physical Sciences MathematicsENRiemann Roch (Introduction)Richard E BorcherdsSeptember 2, 2020 27 min★ ★ ★ ★ ★ 5/5Riemann-RochAlgebraic GeometryRiemann Surfaces
Formal & Physical Sciences MathematicsENCommutative algebra 33 (Integral elements)Richard E BorcherdsSeptember 2, 2020 27 min★ ★ ★ ★ ★ 5/5Commutative AlgebraIntegral ElementsIntegral Closure
Formal & Physical Sciences MathematicsENCommutative algebra 32 Zariski's lemmaRichard E BorcherdsSeptember 1, 2020 23 min★ ★ ★ ★ ★ 5/5Commutative AlgebraZariski's LemmaNullstellensatz
Formal & Physical Sciences MathematicsENCommutative algebra 31 (Nullstellensatz)Richard E BorcherdsAugust 31, 2020 27 min★ ★ ★ ★ ★ 5/5Commutative AlgebraNullstellensatzAlgebraic Geometry
Formal & Physical Sciences MathematicsENCommutative algebra 30 Symbolic powersRichard E BorcherdsAugust 30, 2020 22 min★ ★ ★ ★ ★ 5/5Commutative AlgebraPrimary IdealsSymbolic Powers
Formal & Physical Sciences MathematicsENCommutative algebra 29 The Lasker Noether theoremRichard E BorcherdsAugust 29, 2020 24 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLasker-Noether TheoremPrimary Decomposition
Formal & Physical Sciences MathematicsENCommutative algebra 28 Geometry of associated primesRichard E BorcherdsAugust 28, 2020 28 min★ ★ ★ ★ ★ 5/5Commutative AlgebraAssociated PrimesSupport of Module
Formal & Physical Sciences MathematicsENCommutative algebra 27 (Associated primes)Richard E BorcherdsAugust 26, 2020 30 min★ ★ ★ ★ ★ 5/5Commutative AlgebraAssociated PrimesNoetherian Rings
Formal & Physical Sciences MathematicsENCommutative algebra 26 (Examples of Artinian rings)Richard E BorcherdsAugust 26, 2020 24 min★ ★ ★ ★ ★ 5/5Commutative AlgebraArtinian RingsLocal Rings
Formal & Physical Sciences MathematicsENCommutative algebra 25 Artinian ringsRichard E BorcherdsAugust 25, 2020 21 min★ ★ ★ ★ ★ 5/5Commutative AlgebraArtinian RingsNoetherian Rings
Formal & Physical Sciences MathematicsENCommutative algebra 24 Artinian modulesRichard E BorcherdsAugust 25, 2020 27 min★ ★ ★ ★ ★ 5/5Commutative AlgebraArtinian ModulesNoetherian Modules
Formal & Physical Sciences MathematicsENCommutative algebra 23 (Flat extensions)Richard E BorcherdsAugust 24, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraFlat ModulesTensor Products
Formal & Physical Sciences MathematicsENCommutative algebra 22 Flatness, tensor products, localizationRichard E BorcherdsAugust 23, 2020 24 min★ ★ ★ ★ ★ 5/5Commutative AlgebraFlat ModulesLocalization
Formal & Physical Sciences Science — General & HistoryENMegaFavNumbers 262537412680768000Richard E BorcherdsAugust 22, 2020 21 min★ ★ ★ ★ ★ 5/5Elliptic Modular FunctionMonster GroupNumber Theory
Formal & Physical Sciences MathematicsENCommutative algebra 21 Tensor products and exactnessRichard E BorcherdsAugust 22, 2020 21 min★ ★ ★ ★ ★ 5/5Commutative AlgebraTensor ProductExact Sequence
Formal & Physical Sciences MathematicsENCommutative algebra 20 Tensor products reviewRichard E BorcherdsAugust 21, 2020 26 min★ ★ ★ ★ ★ 5/5Commutative AlgebraTensor ProductsModules
Formal & Physical Sciences MathematicsENCommutative algebra 19 Affine schemesRichard E BorcherdsAugust 21, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraAffine SchemesSpectrum of a Ring
Formal & Physical Sciences MathematicsENCommutative algebra 18 (Functions on Spec R)Richard E BorcherdsAugust 20, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrumSheaf
Formal & Physical Sciences MathematicsENCommutative algebra 17 (Spec R[1/S])Richard E BorcherdsAugust 20, 2020 27 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrumLocalization
Formal & Physical Sciences MathematicsENCommutative algebra 16 LocalizationRichard E BorcherdsAugust 19, 2020 29 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLocalizationRing Theory
Formal & Physical Sciences MathematicsENCommutative algebra 15 (Noetherian spaces)Richard E BorcherdsAugust 19, 2020 26 min★ ★ ★ ★ ★ 5/5Noetherian SpaceCommutative AlgebraSpectrum of a Ring
Formal & Physical Sciences MathematicsENCommutative algebra 14 (Irreducible subsets of Spec R)Richard E BorcherdsAugust 18, 2020 22 min★ ★ ★ ★ ★ 5/5Commutative AlgebraPrime IdealsSpectrum
Formal & Physical Sciences MathematicsENCommutative algebra 13 (Topology of Spec R)Richard E BorcherdsAugust 18, 2020 23 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrum of a RingZariski Topology
Formal & Physical Sciences MathematicsENSchemes 48: The canonical sheafRichard E BorcherdsAugust 16, 2020 37 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesCanonical Sheaf
Formal & Physical Sciences MathematicsENSchemes 47: Cotangent bundleRichard E BorcherdsAugust 15, 2020 24 min★ ★ ★ ★ ☆ 4/5Algebraic GeometrySchemesCotangent Sheaf
Formal & Physical Sciences MathematicsENSchemes 46: Differential operatorsRichard E BorcherdsAugust 14, 2020 33 min★ ★ ★ ★ ★ 5/5Algebraic GeometryDifferential OperatorsSchemes
Formal & Physical Sciences MathematicsENSchemes 45: Blowing up schemesRichard E BorcherdsAugust 14, 2020 23 min★ ★ ★ ★ ☆ 4/5Algebraic GeometrySchemesBlowing Up
Formal & Physical Sciences MathematicsENSchemes 44: Proj (S)Richard E BorcherdsAugust 13, 2020 23 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesProj
Formal & Physical Sciences MathematicsENCommutative algebra 12: Examples of Spec RRichard E BorcherdsAugust 13, 2020 26 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrum of a RingPrime Ideals
Formal & Physical Sciences MathematicsENCommutative algebra 11 (Spectrum of a ring)Richard E BorcherdsAugust 13, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrum of a RingPrime Ideals
Formal & Physical Sciences MathematicsENCommutative algebra 10 (Weierstrass preparation theorem)Richard E BorcherdsAugust 12, 2020 24 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraWeierstrass Preparation TheoremPower Series
Formal & Physical Sciences MathematicsENSchemes 43: Linear systemsRichard E BorcherdsAugust 11, 2020 24 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryLinear SystemsDivisors
Formal & Physical Sciences MathematicsENCommutative algebra 9 (Euclidean domains)Richard E BorcherdsAugust 10, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraEuclidean DomainGaussian Integers
Formal & Physical Sciences MathematicsENCommutative algebra 8 (Noetherian modules)Richard E BorcherdsAugust 9, 2020 30 min★ ★ ★ ★ ★ 5/5Noetherian ModulesCommutative AlgebraInvariants
Formal & Physical Sciences MathematicsENSchemes 42: Very ample sheavesRichard E BorcherdsAugust 8, 2020 25 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesAmple Sheaves