mathematics

Jean-Claude Sikorav

Jean-Claude Sikorav is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Jean-Claude Sikorav rather than just read about it. In short: Jean-Claude Sikorav (born 21 June 1957) is a French mathematician. He is professor at the École normale supérieure de Lyon.

Key takeaways

Jean-Claude Sikorav belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Jean-Claude Sikorav to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Jean-Claude Sikorav from memory before moving on to harder problems.

Reference excerpt

Jean-Claude Sikorav (born 21 June 1957) is a French mathematician. He is professor at the École normale supérieure de Lyon. He is specialized in symplectic geometry.

Main contributions Sikorav is known for his proof, joint with François Laudenbach, of the Arnold conjecture for Lagrangian intersections in cotangent bundles, as well as for introducing generating families in symplectic topology.

Selected publications Sikorav is one of fifteen members of a group of mathematicians who published the book Uniformisation des surfaces de Riemann under the pseudonym of Henri Paul de Saint-Gervais. He has written the survey

Sikorav, Jean-Claude (1994), "Some properties of holomorphic curves in almost complex manifolds", Holomorphic curves in symplectic geometry, Progress in Mathematics, vol. 117, Basel: Birkhäuser, pp. 165–189, MR 1274929. and research papers

Hofer, Helmut; Lizan, Véronique; Sikorav, Jean-Claude (1997), "On genericity for holomorphic curves in four-dimensional almost-complex manifolds", Journal of Geometric Analysis, 7 (1): 149–159, doi:10.1007/BF02921708, MR 1630789, S2CID 119936346. Laudenbach, François; Sikorav, Jean-Claude (1985), "Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent", Inventiones Mathematicae, 82 (2): 349–357, Bibcode:1985InMat..82..349L, doi:10.1007/BF01388807, MR 0809719, S2CID 122242002.

Honors Sikorav is a Knight of the Ordre des Palmes Académiques.

References

External links Jean-Claude Sikorav at the Mathematics Genealogy Project Home page at the École Normale Supérieure de Lyon

Illustrations

Jean-Claude Sikorav: Jean-Claude Sikorav — Jean-Claude Sikorav

Worked examples

Example 1 — a first encounter with Jean-Claude Sikorav

Start with the simplest possible case. Write down what Jean-Claude Sikorav claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Jean-Claude Sikorav before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Jean-Claude Sikorav ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Jean-Claude Sikorav

In research: Jean-Claude Sikorav appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Jean-Claude Sikorav in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Jean-Claude Sikorav is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1957 births, Chevaliers of the Ordre des Palmes Académiques, French mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Jean-Claude Sikorav outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Jean-Claude Sikorav in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Jean-Claude Sikorav means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Jean-Claude Sikorav out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Jean-Claude Sikorav in simple terms?

Jean-Claude Sikorav (born 21 June 1957) is a French mathematician. He is professor at the École normale supérieure de Lyon.

Why does Jean-Claude Sikorav matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Jean-Claude Sikorav?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Jean-Claude Sikorav.