Formal & Physical Sciences MathematicsENComplex surfaces 1: IntroductionRichard E BorcherdsNovember 3, 2020 26 min★ ★ ★ ★ ☆ 4/5Complex SurfacesAlgebraic GeometryEnriques-Kodaira Classification
Formal & Physical Sciences MathematicsENWeil conjectures 7: What is an etale morphism?Richard E BorcherdsOctober 29, 2020 29 min★ ★ ★ ★ ★ 5/5Etale MorphismAlgebraic GeometryWeil Conjectures
Formal & Physical Sciences MathematicsENWeil conjectures 6: etale cohomology of a curveRichard E BorcherdsOctober 27, 2020 27 min★ ★ ★ ★ ☆ 4/5Etale CohomologyWeil ConjecturesAlgebraic Geometry
Formal & Physical Sciences MathematicsENWeil conjectures 4 Fermat hypersurfacesRichard E BorcherdsOctober 20, 2020 21 min★ ★ ★ ★ ★ 5/5Weil ConjecturesFermat HypersurfacesGauss Sums
Formal & Physical Sciences MathematicsENAlgebraic geometry 37: Singular points (replacement video)Richard E BorcherdsOctober 14, 2020 20 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySingular PointsTangent Space
Formal & Physical Sciences MathematicsENWeil conjectures 2: Functional equationRichard E BorcherdsOctober 13, 2020 20 min★ ★ ★ ★ ★ 5/5Weil ConjecturesFunctional EquationRiemann-Roch
Formal & Physical Sciences MathematicsENAlgebraic geometry 38: The Zariski tangent space (replacement)Richard E BorcherdsOctober 11, 2020 22 min★ ★ ★ ★ ★ 5/5Algebraic GeometryZariski Tangent SpaceLocal Rings
Formal & Physical Sciences MathematicsENWeil conjectures 1 IntroductionRichard E BorcherdsOctober 8, 2020 34 min★ ★ ★ ★ ★ 5/5Weil ConjecturesRiemann HypothesisZeta Functions
Formal & Physical Sciences MathematicsENRiemann Roch. Proof (part 2)Richard E BorcherdsOctober 6, 2020 27 min★ ★ ★ ★ ★ 5/5Riemann-RochSerre DualityAlgebraic Geometry
Formal & Physical Sciences MathematicsENRiemann Roch: Proof, part 1Richard E BorcherdsOctober 1, 2020 29 min★ ★ ★ ★ ★ 5/5Riemann-Roch TheoremAlgebraic GeometryDivisors
Formal & Physical Sciences MathematicsENRiemann Roch: plane curvesRichard E BorcherdsSeptember 29, 2020 23 min★ ★ ★ ★ ★ 5/5Riemann-RochPlane CurvesGenus
Formal & Physical Sciences MathematicsENRiemann Roch: genus 3 curvesRichard E BorcherdsSeptember 24, 2020 30 min★ ★ ★ ★ ★ 5/5Riemann-RochGenus 3Algebraic Curves
Formal & Physical Sciences MathematicsENRiemann Roch: genus 2 curvesRichard E BorcherdsSeptember 21, 2020 30 min★ ★ ★ ★ ★ 5/5Riemann-Roch TheoremGenus 2 CurvesHyperelliptic Curves
Formal & Physical Sciences MathematicsENRiemann Roch: structure of genus 1 curvesRichard E BorcherdsSeptember 17, 2020 18 min★ ★ ★ ★ ★ 5/5Riemann-RochGenus 1Elliptic Curve
Formal & Physical Sciences MathematicsENRiemann Roch: genus 1Richard E BorcherdsSeptember 14, 2020 31 min★ ★ ★ ★ ★ 5/5Riemann-RochElliptic CurvesAlgebraic Geometry
Formal & Physical Sciences MathematicsENRiemann Roch for genus 0 curvesRichard E BorcherdsSeptember 9, 2020 21 min★ ★ ★ ★ ★ 5/5Riemann-RochGenus 0Algebraic Geometry
Formal & Physical Sciences MathematicsENRiemann Roch (Introduction)Richard E BorcherdsSeptember 2, 2020 27 min★ ★ ★ ★ ★ 5/5Riemann-RochAlgebraic GeometryRiemann Surfaces
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 MathematicsENSchemes 43: Linear systemsRichard E BorcherdsAugust 11, 2020 24 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryLinear SystemsDivisors
Formal & Physical Sciences MathematicsENSchemes 42: Very ample sheavesRichard E BorcherdsAugust 8, 2020 25 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesAmple Sheaves
Formal & Physical Sciences MathematicsENSchemes 41: Morphisms to projective spaceRichard E BorcherdsAugust 7, 2020 31 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesProjective Space
Formal & Physical Sciences MathematicsENSchemes 40: Examples of PicXRichard E BorcherdsJuly 31, 2020 24 min★ ★ ★ ★ ★ 5/5Picard GroupSchemesAlgebraic Geometry
Formal & Physical Sciences MathematicsENSchemes 39: Divisors and Dedekind domainsRichard E BorcherdsJuly 30, 2020 26 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesDivisors
Formal & Physical Sciences MathematicsENSchemes 38: Comparison of Cartier divisors and PicRichard E BorcherdsJuly 30, 2020 25 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesCartier Divisors
Formal & Physical Sciences MathematicsENSchemes 37: Comparison of Weil and Cartier divisorsRichard E BorcherdsJuly 29, 2020 26 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesDivisors
Formal & Physical Sciences MathematicsENSchemes 36: Weil and Cartier divisorsRichard E BorcherdsJuly 29, 2020 22 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesWeil Divisors
Formal & Physical Sciences MathematicsENSchemes 35: Divisors on a Riemann surfaceRichard E BorcherdsJuly 28, 2020 29 min★ ★ ★ ★ ★ 5/5Algebraic GeometryDivisorsRiemann Surfaces
Formal & Physical Sciences MathematicsENSchemes 34: Coherent sheaves on projective spaceRichard E BorcherdsJuly 27, 2020 27 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryCoherent SheavesProjective Space
Formal & Physical Sciences MathematicsENSchemes 33: Vector bundles on the projective lineRichard E BorcherdsJuly 26, 2020 26 min★ ★ ★ ★ ★ 5/5Algebraic GeometryVector BundlesProjective Line
Formal & Physical Sciences MathematicsENSchemes 32: The line bundles O(n) on projective spaceRichard E BorcherdsJuly 25, 2020 28 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesLine Bundles
Formal & Physical Sciences MathematicsENSchemes 31: Coherent sheavesRichard E BorcherdsJuly 23, 2020 31 min★ ★ ★ ★ ★ 5/5Algebraic GeometryCoherent SheavesSchemes
Formal & Physical Sciences MathematicsENSchemes 30: f* and f *Richard E BorcherdsJuly 23, 2020 21 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesSheaves
Formal & Physical Sciences MathematicsENSchemes 29: Invertible sheaves over the projective lineRichard E BorcherdsJuly 22, 2020 31 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesInvertible Sheaves
Formal & Physical Sciences MathematicsENSchemes 28: Examples of quasicoherent sheavesRichard E BorcherdsJuly 21, 2020 30 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesQuasicoherent Sheaves
Formal & Physical Sciences MathematicsENSchemes 27: Quasicoherent sheavesRichard E BorcherdsJuly 20, 2020 27 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesQuasicoherent Sheaves
Formal & Physical Sciences MathematicsENSchemes 26: Abstract and projective varietiesRichard E BorcherdsJuly 19, 2020 15 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesVarieties