Mathematics

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Formal & Physical Sciences Mathematics
EN

Complex surfaces 4: Ruled surfaces

Richard E Borcherds
24 min
4/5
Algebraic GeometryRuled SurfacesEnriques Classification
Formal & Physical Sciences Mathematics
EN

Evolution and Game theory

Dr. Eitan Farchi
15 min
4/5
Evolutionary Game TheoryNash EquilibriumEvolutionarily Stable Strategy
Formal & Physical Sciences Mathematics
EN

Commutative algebra 49: Completions

Richard E Borcherds
30 min
5/5
Commutative AlgebraCompletionsP-Adic Numbers
Formal & Physical Sciences Mathematics
EN

Complex surfaces 3: Rational surfaces

Richard E Borcherds
32 min
4/5
Rational SurfacesAlgebraic GeometryBlow-Up
Formal & Physical Sciences Mathematics
EN

Genesis of vertex algebras

Richard E Borcherds
34 min
5/5
Vertex AlgebrasMathematics HistoryRichard Borcherds
Formal & Physical Sciences Mathematics
EN

Complex surfaces 2: Minimal surfaces

Richard E Borcherds
36 min
4/5
Algebraic GeometryMinimal SurfacesBlow-Up
Formal & Physical Sciences Mathematics
EN

Complex surfaces 1: Introduction

Richard E Borcherds
26 min
4/5
Complex SurfacesAlgebraic GeometryEnriques-Kodaira Classification
Formal & Physical Sciences Mathematics
EN

Homological algebra 6: Injective modules

Richard E Borcherds
29 min
5/5
Injective ModulesHomological AlgebraEssential Extensions
Formal & Physical Sciences Mathematics
EN

Homological algebra 5: Ext(A,B)

Richard E Borcherds
27 min
5/5
Ext GroupsHomological AlgebraDerived Functors
Formal & Physical Sciences Mathematics
EN

Homological algebra 3: Tor over rings

Richard E Borcherds
24 min
4/5
Homological AlgebraTor FunctorGroup Homology
Formal & Physical Sciences Mathematics
EN

Commutative algebra 44 Flat modules

Richard E Borcherds
16 min
4/5
Commutative AlgebraFlat ModulesProjective Modules
Formal & Physical Sciences Mathematics
EN

Weil conjectures 3: Riemann hypothesis

Richard E Borcherds
19 min
5/5
Weil ConjecturesRiemann HypothesisFinite Fields
Formal & Physical Sciences Mathematics
EN

Weil conjectures 1 Introduction

Richard E Borcherds
34 min
5/5
Weil ConjecturesRiemann HypothesisZeta Functions
Formal & Physical Sciences Mathematics
EN

Riemann Roch. Proof (part 2)

Richard E Borcherds
27 min
5/5
Riemann-RochSerre DualityAlgebraic Geometry
Formal & Physical Sciences Mathematics
EN

Commutative algebra 36 Artin Rees lemma

Richard E Borcherds
18 min
5/5
Commutative AlgebraArtin-Rees LemmaNoetherian Rings
Formal & Physical Sciences Mathematics
EN

Riemann Roch: Proof, part 1

Richard E Borcherds
29 min
5/5
Riemann-Roch TheoremAlgebraic GeometryDivisors