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178 видео
The Riemann-Roch theorem for curves
Properties of tensors products of vector spaces
Number field - Function field analogy
Lifting properties of covers and deck transformations
Etale cover - open cover analogy
Ratio test for convergence
Galois cohomology and descent data
Fundamental Group of Circle and the Fundamental Theorem of Algebra
Descent data and twisted forms
1-forms. Line Integrals. Degree
You already know some Galois theory!
Why Vector Bundles
Partitions
Homotopy
Grothendieck topologies
Intersection theory on projective surfaces via cohomology
The ascending chain condition and existence of prime factorisations
Linear Ordinary Differential Equations
Taylors theorem
Cauchy products and absolutely convergent series
Fibre products and Galois covers
Affine algebraic geometry: Algebraic Incarnation of Points
Counting monomials
Tensor products. Coordinate free version.
Categories. Definitions and examples.
Weil's insight: A Lefschetz fixed point formula for varieties?
Zeta functions for varieties over finite fields
Cauchy Completeness and existence of limits.
ExponentialGenerating Functions
Tensor products of bimodules.
Counting and bijections
What are the Weil conjectures about?
Recurrence Relations and Generating Functions
The simply connected or universal covering space
Complex Analysis and algebraic geometry
The Riemann Hurwitz formula.
Linear systems projections
Central simple algebras as twisted forms of matrix algebras
Catalan numbers
Difference Operator
Manifolds - Intrinsic Geometry
