mathematics

Sébastien Boucksom

Sébastien Boucksom 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 Sébastien Boucksom rather than just read about it. In short: Sébastien Boucksom (born 26 August 1976 in Roubaix) is a French mathematician. Boucksom studied at the École normale supérieure de Lyon from 1996 to 1999, when he qualified with his agrégation in mathematics.

Key takeaways

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

Reference excerpt

Sébastien Boucksom (born 26 August 1976 in Roubaix) is a French mathematician. Boucksom studied at the École normale supérieure de Lyon from 1996 to 1999, when he qualified with his agrégation in mathematics. He received his doctorate in 2002 from the Institut Fourier of the Université Grenoble Alpes with thesis Cônes positifs des variétés complexes compactes under the supervision of Jean-Pierre Demailly. As a postdoc Boucksom studied with Simon Donaldson at Imperial College London. From 2003 he did research for the CNRS at the Institut de Mathématiques de Jussieu of the CNRS and the University of Paris VI. Since 2010 he has been a part-time professor at the École Polytechnique and since 2014 a directeur de recherche of the CNRS at the Center de Mathématiques Laurent Schwartz of the École Polytechnique. Boucksom's research deals with algebraic geometry, geometry of p-adic algebraic varieties, and Kähler manifolds. Ideas introduced by Boucksom and collaborators Berman and Jonsson using non-Archimedean geometry to study Kähler manifolds have been very influential in the study of K-stability of Fano varieties. In 2014, the French Academy of Sciences awarded him the Prix Paul Doistau–Émile Blutet. The laudation cited his work on positive fluxes in compact Kähler manifolds with application to characterization of pseudo-effective cones, as well as his work on the Monge-Ampère equation with application to the existence of Kähler-Einstein metrics with minimal singularities. With Berman and Nyström, he proved a version of the Fekete problem in pluripotential theory. (An algorithmic version of the Fekete problem is problem number 7 of Smale's problems.) In 2018, Boucksom was an Invited Speaker with talk Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture at the International Congress of Mathematicians in Rio de Janeiro.

Selected publications Boucksom, Sébastien; Eyssidieux, Philippe; Guedj, Vincent (2013). An Introduction to the Kähler-Ricci flow. Cham, Switzerland: Springer. ISBN 978-3-319-00819-6. OCLC 859522979. Berman, Robert; Boucksom, Sébastien (11 May 2010). "Growth of balls of holomorphic sections and energy at equilibrium". Inventiones Mathematicae. 181 (2). Springer Science and Business Media LLC: 337–394. arXiv:0803.1950. Bibcode:2010InMat.181..337B. doi:10.1007/s00222-010-0248-9. ISSN 0020-9910. S2CID 16186301. Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias (22 May 2014). "Solution to a non-Archimedean Monge-Ampère equation". Journal of the American Mathematical Society. 28 (3). American Mathematical Society (AMS): 617–667. arXiv:1201.0188. doi:10.1090/s0894-0347-2014-00806-7. ISSN 0894-0347. S2CID 119153225. Boucksom, Sébastien; Hisamoto, Tomoyuki; Jonsson, Mattias (24 May 2019). "Uniform K-stability and asymptotics of energy functionals in Kähler geometry". Journal of the European Mathematical Society. 21 (9). European Mathematical Society - EMS - Publishing House GmbH: 2905–2944. arXiv:1603.01026. doi:10.4171/jems/894. ISSN 1435-9855. S2CID 54182600.

References

External links "Sébastien Boucksom, Publications with online pdf's". CNRS. "Sébastien Boucksom: Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture". YouTube. Centre International de Rencontres Mathématiques. 31 January 2018.

Worked examples

Example 1 — a first encounter with Sébastien Boucksom

Start with the simplest possible case. Write down what Sébastien Boucksom 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 Sébastien Boucksom 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 Sébastien Boucksom 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 Sébastien Boucksom

In research: Sébastien Boucksom 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 Sébastien Boucksom 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: Sébastien Boucksom is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1976 births, 20th-century French mathematicians, 21st-century French mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Sébastien Boucksom 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 Sébastien Boucksom in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Sébastien Boucksom 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.
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Frequently asked questions

What is Sébastien Boucksom in simple terms?

Why does Sébastien Boucksom 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 Sébastien Boucksom?

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 Sébastien Boucksom.