What is standard conjectures on algebraic cycles grothendieck?
What are called the standard conjectures on algebraic cycles are several conjectures brought up by Grothendieck, concerned with the relation between algebraic cycles and Weil cohomology theories.
What is the Hodge conjecture explained simply?
In as simple terms as possible, the Hodge conjecture asks whether complicated mathematical things can be built from simpler ones.
Not so dissimilar to seeing an entire working city built from Lego and realising that it is in fact all just made from little simple square blocks.Why is the Hodge conjecture important?
The Hodge conjecture is a major unsolved problem in algebraic geometry that deals with the structure of harmonic forms on algebraic varieties.
It states that the cohomology classes of algebraic varieties that are represented by harmonic forms are precisely the classes that can be represented by algebraic cycles.- In algebraic statistics, techniques from algebraic geometry are used to advance research on topics such as the design of experiments and hypothesis testing [1].
Another surprising application of algebraic geometry is to computational phylogenetics [2,3].
Métaplans de leçons pour l'Agrégation
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L'AMOUR CONJUGAL SOUS L'ANGLE SOCIOLOGIQUE
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SUJET DU BAC MATHÉMATIQUES
Les formes contemporaines d'exercice du metier d'assistant
TP3 Les anticorps : des molécules spécifiques de la réponse
