mathematics

Pierre Bieliavsky

Pierre Bieliavsky 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 Pierre Bieliavsky rather than just read about it. In short: Pierre Bieliavsky (born 1970 in Brussels, Belgium), is a Belgian mathematician. Biography Pierre Bieliavsky graduated from the Université libre de Bruxelles in 1991.

Key takeaways

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

Reference excerpt

Pierre Bieliavsky (born 1970 in Brussels, Belgium), is a Belgian mathematician.

Biography Pierre Bieliavsky graduated from the Université libre de Bruxelles in 1991. He completed a doctorate in 1995 under the supervision of Michel Cahen at the Université libre de Bruxelles on Symmetric symplectic spaces. He is currently professor of mathematics at the Université catholique de Louvain. His research subjects are theory of symmetric space, harmonic analysis, noncommutative geometry and mathematical physics.

Prizes Prix Eugène-Catalan from the Royal Academy of Science, Letters and Fine Arts of Belgium (2015)

Publications with Victor Gayral, Deformation Quantization for Actions of Kählerian Lie Groups, Volume 236, Number 1115, Memoirs of the American Mathematical Society (2014) Semisimple symplectic symmetric spaces, Geom. Dedicata 73 (1998), no. 3, 245–273. Symmetric spaces and star representations, Advances in Geometry, Progr. Math. 172, Birkhauser (Boston), 1999, 71–82. Strict quantization of solvable symmetric spaces, Journal of Symplectic Geometry 1 (2002), no. 2, 269–320. (math.QA/0010004.) with Y. Maeda, Convergent star product algebras on "$ax+b$", Lett. Math. Phys. 62 (2002), no. 3, 233–243. with M. Massar, Oscillatory integral formulae for left-invariant star products on a class of Lie groups, Lett. Math. Phys. 58 (2001), no. 2, 115–128. with M. Rooman, Ph. Spindel, Regular Poisson structures on massive non-rotating BTZ black holes, Nuclear Physics B 645 (2002), no. 1-2, 349–364. with M.Pevzner, Symmetric spaces and star representations III. The Poincarré disk, Noncommutative Harmonic Analysis, Progress in Mathematics, 220, Birkhäuser Boston, P. Delorme, M. Vergne eds (2004). (math.RT/0209206).

References

External links Pierre Bieliavsky's page (in French) Universal deformation twists from evolution equations from Hausdorff Trimester Program Non-commutative Geometry and its Applications (15 December 2014)

Illustrations

Worked examples

Example 1 — a first encounter with Pierre Bieliavsky

Start with the simplest possible case. Write down what Pierre Bieliavsky 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 Pierre Bieliavsky 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 Pierre Bieliavsky 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 Pierre Bieliavsky

In research: Pierre Bieliavsky 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 Pierre Bieliavsky 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: Pierre Bieliavsky is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1970 births, 20th-century Belgian mathematicians, 20th-century French mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Pierre Bieliavsky 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 Pierre Bieliavsky in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Pierre Bieliavsky 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 Pierre Bieliavsky out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Pierre Bieliavsky in simple terms?

Pierre Bieliavsky (born 1970 in Brussels, Belgium), is a Belgian mathematician. Biography Pierre Bieliavsky graduated from the Université libre de Bruxelles in 1991.

Why does Pierre Bieliavsky 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 Pierre Bieliavsky?

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 Pierre Bieliavsky.