mathematics

Yan Soibelman

Yan Soibelman 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 Yan Soibelman rather than just read about it. In short: Iakov (Yan) Soibelman (Russian: Яков Семенович Сойбельман) born 15 April 1956 (Kiev, USSR) is a Russian American mathematician, professor at Kansas State University (Manhattan, USA), member of the Kyiv Mathematical Society (Ukraine), founder of Manhattan Mathematical Olympiad. Scientific work Yan Soibelman is a specialist in theory of quantum groups, representation theory and symplectic geometry.

Key takeaways

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

Reference excerpt

Iakov (Yan) Soibelman (Russian: Яков Семенович Сойбельман) born 15 April 1956 (Kiev, USSR) is a Russian American mathematician, professor at Kansas State University (Manhattan, USA), member of the Kyiv Mathematical Society (Ukraine), founder of Manhattan Mathematical Olympiad.

Scientific work Yan Soibelman is a specialist in theory of quantum groups, representation theory and symplectic geometry. He introduced the notion of quantum Weyl group, studied representation theory of the algebras of functions on compact quantum groups, and meromorphic braided monoidal categories. His long term collaboration with Maxim Kontsevich is devoted to various aspects of homological mirror symmetry, a proof of Deligne conjecture about operations on the cohomological Hochschild complex, a direct construction of Calabi-Yau varieties based on SYZ conjecture and non-archimedean geometry, and more recently to Donaldson-Thomas theory. Together with Kontsevich he laid the foundation and developed the theory of motivic Donaldson-Thomas invariants. Kontsevich-Soibelman wall-crossing formula for Donaldson-Thomas invariants (a.k.a BPS invariants) found important applications in physics. They also introduced the notion of Cohomological Hall algebra which has numerous applications in geometric representation theory and quantum physics.

See also bio Yan Soibelman's papers posted to math archives Manhattan Mathematical Olympiad, past years problems

References

Illustrations

Worked examples

Example 1 — a first encounter with Yan Soibelman

Start with the simplest possible case. Write down what Yan Soibelman 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 Yan Soibelman 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 Yan Soibelman 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 Yan Soibelman

In research: Yan Soibelman 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 Yan Soibelman 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: Yan Soibelman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1956 births, American mathematicians, Kansas State University faculty, so understanding it makes those chapters shorter.
In everyday life: Look for Yan Soibelman 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 Yan Soibelman in 20 minutes

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

Frequently asked questions

What is Yan Soibelman in simple terms?

Why does Yan Soibelman 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 Yan Soibelman?

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 Yan Soibelman.