mathematics

Vadim Schechtman

Vadim Schechtman 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 Vadim Schechtman rather than just read about it. In short: Vadim V. Schechtman (Вадим Шехтман, born 8 June 1954) is a Russian mathematician who teaches in Toulouse.

Key takeaways

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

Reference excerpt

Vadim V. Schechtman (Вадим Шехтман, born 8 June 1954) is a Russian mathematician who teaches in Toulouse. Schechtman received in 1979 from Moscow State University his doctorate under the supervision of Evgeny Golod. Schechtman was an academic at Moscow State University in the 1980s and at Stony Brook University in the 1990s. He is a now a professor at Paul Sabatier University (Toulouse III). His research deals with algebraic geometry and quantum groups as well as with mathematical physics. He has collaborated with Alexander Varchenko and Alexander Beilinson, among others. Schechtman was an Invited Speaker with talk Sur les algèbres vertex attachées aux variétés algébriques at the International Congress of Mathematicians in Beijing in 2002.

Selected publications Beilinson, A.; MacPherson, R.; Schechtman, V. (1987). "Notes on Motivic Cohomology". Duke Math. J. 54 (2): 679–710. doi:10.1215/S0012-7094-87-05430-5. Beilinson, A. A.; Schechtman, V. V. (1988). "Determinant bundles and Virasoro algebras". Comm. Math. Phys. 118 (4): 651–701. Bibcode:1988CMaPh.118..651B. doi:10.1007/BF01221114. S2CID 119452139. Beilinson, A. A.; Varchenko, A. N.; Goncharov, A. B.; Schechtman, V. V. (1990). "Projective Geometry and K-theory". Algebra i Analiz. 2 (3): 78–134. Beilinson, A. A.; Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N. (1990). "Aomoto dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the plane". Grothendieck Festschrift. Progress in Mathematics. Birkhäuser. pp. 131–172. doi:10.1007/978-0-8176-4574-8_6. ISBN 978-0-8176-4566-3. Schechtman, V. V.; Varchenko, A. N. (1990). "Hypergeometric solutions of Knizhnik-Zamolodchikov equations". Lett. Math. Phys. 20 (4): 279–283. Bibcode:1990LMaPh..20..279S. doi:10.1007/BF00626523. S2CID 122181810. Schechtman, Vadim V.; Varchenko, Alexander N. (1991). "Arrangement of hyperplanes and Lie algebra homology". Inventiones Mathematicae. 106: 139–194. Bibcode:1991InMat.106..139S. doi:10.1007/BF01243909. S2CID 121471033. Schechtman, Vadim V.; Varchenko, Alexander N. (1991). "Quantum groups and homology of local systems". in:, Algebraic geometry and analytic geometry (ICM 90 Satellite Conference Tokyo). Springer Verlag. pp. 182–197. doi:10.1007/978-4-431-68172-4_10. ISBN 978-4-431-70086-9. Feigin, Boris; Schechtman, Vadim; Varchenko, Alexander (1994). "On algebraic equations satisfied by hypergeometric correlators in WZW models, Part 1". Comm. Math. Phys. 163 (1): 173–184. Bibcode:1994CMaPh.163..173F. doi:10.1007/BF02101739. S2CID 189834500. Factorizable sheaves and quantum groups. Lecture Notes in Mathematics 1691. Springer Verlag. 1998. Bezrukavnikov, Roman; Finkelberg, Michael; Schechtman, Vadim (2006). pbk reprint. Springer. ISBN 9783540692317. Schechtman, Vadim (2011). "Pentagramma Mirificum and elliptic functions". arXiv:1106.3633 [math.AG].

References

External links mathnet.ru

Worked examples

Example 1 — a first encounter with Vadim Schechtman

Start with the simplest possible case. Write down what Vadim Schechtman 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 Vadim Schechtman 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 Vadim Schechtman 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 Vadim Schechtman

In research: Vadim Schechtman 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 Vadim Schechtman 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: Vadim Schechtman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1954 births, 20th-century Russian mathematicians, 21st-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Vadim Schechtman 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 Vadim Schechtman in 20 minutes

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

Frequently asked questions

What is Vadim Schechtman in simple terms?

Vadim V. Schechtman (Вадим Шехтман, born 8 June 1954) is a Russian mathematician who teaches in Toulouse.

Why does Vadim Schechtman 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 Vadim Schechtman?

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 Vadim Schechtman.