Concept

Alexander Grothendieck

Related lectures (6)

Explores the complement problem for hypersurfaces in projective spaces and discusses isomorphism based on their complements.

Explores algebraic cycles, etale cohomology, and counterexamples to the Hodge conjecture.

Covers the Weil conjectures on rationality, functional equation, and the Riemann hypothesis, exploring properties of varieties in algebraic geometry.

Explores building categories from graphs and the encoding of information by functors.

Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.

Covers the duality principle in linear algebra and its implications in mathematics.