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Vladimir Platonov

Vladimir Platonov is a astronomy 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 Vladimir Platonov rather than just read about it. In short: Vladimir Petrovich Platonov (Belarusian: Уладзімір Пятровіч Платонаў, Uladzimir Piatrovic Platonau; Russian: Влади́мир Петро́вич Плато́нов; born 1 December 1939, Stayki village, Vitebsk Region, Byelorussian SSR) is a Soviet, Belarusian and Russian mathematician. He is an expert in algebraic geometry and topology and member of the Russian Academy of Sciences.

Key takeaways

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

Reference excerpt

Vladimir Petrovich Platonov (Belarusian: Уладзімір Пятровіч Платонаў, Uladzimir Piatrovic Platonau; Russian: Влади́мир Петро́вич Плато́нов; born 1 December 1939, Stayki village, Vitebsk Region, Byelorussian SSR) is a Soviet, Belarusian and Russian mathematician. He is an expert in algebraic geometry and topology and member of the Russian Academy of Sciences. From 1992–2004 he worked at research centers in the United States, Canada and Germany.

Education In 1961 Platonov graduated with highest distinction from Belarusian State University. In 1963 he received his Ph.D. from the Academy of Sciences of Belarus. In 1967, Platonov received his Doctor of Science degree from the Academy of Sciences of USSR.

Career At age 28 Platonov received a title of full professor at Belarus State. This made him the youngest full professor in the nation's history. In 1972 he became an Academician of the National Academy of Sciences of Belarus and its President (1987–1993). He has been an Academician of the Russian/USSR Academy of Sciences since 1987. He was the Director of the Institute of Mathematics of the Academy of Sciences of Belarus from 1977 to 1992.

Research His interests are algebra, algebraic geometry and number theory. He solved the Strong approximation problem, developed the reduced K-theory and solved the Tannaka–Artin problem. He solved the Kneser-Tits and Grothendieck problems. Together with F. Grunewald he solved the arithmeticity problem for finite extensions of arithmetic groups and the rigidity problem for arithmetic subgroups of algebraic groups with radical. Platonov solved the rationality problem for spinor varieties and the Dieudonne problem on spinor norms. Platonov was an invited speaker of the International Congresses of Mathematicians in Vancouver (1974), Helsinki (1978) and the European Congress of Mathematicians in Budapest (1996). He is a member of the Canadian Mathematical Society and from 1993 to 2001 was a Professor of the Faculty of Mathematics of the University of Waterloo in Waterloo, Ontario, Canada. He is the author, with Andrei Rapinchuk, of Algebraic Groups and Number Theory. He currently works as a Chief Science Officer of Scientific Research Institute of System Development (NIISI RAN).

Assault conviction On November 9, 1999, Platonov appeared in court on a bail hearing on a charge of attempted murder for an attack on his wife. He was convicted of assault. The court gave him a conditional sentence of two years. In September 2001, Platonov took early retirement as a professor of the University of Waterloo.

Awards Order of the Red Banner of Labour 1968: Lenin Komsomol Prize, for a series of works in topological group theory 1978: Lenin Prize in Science and Technology, for a fundamental series of works "Arithmetics of Algebraic Groups and Reduced K-Theory" ("Арифметика алгебраических групп и приведенная К-теория") 1993: Humboldt Prize

See also List of University of Waterloo people

References

Worked examples

Example 1 — a first encounter with Vladimir Platonov

Start with the simplest possible case. Write down what Vladimir Platonov claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Vladimir Platonov 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 Vladimir Platonov 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 Vladimir Platonov

In research
Vladimir Platonov appears in astronomy 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 Vladimir Platonov 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
Vladimir Platonov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1939 births, 20th-century Belarusian mathematicians, Academic staff of Belarusian State University, so understanding it makes those chapters shorter.
In everyday life
Look for Vladimir Platonov 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 Vladimir Platonov in 20 minutes

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

Frequently asked questions

What is Vladimir Platonov in simple terms?

Vladimir Petrovich Platonov (Belarusian: Уладзімір Пятровіч Платонаў, Uladzimir Piatrovic Platonau; Russian: Влади́мир Петро́вич Плато́нов; born 1 December 1939, Stayki village, Vitebsk Region, Byelorussian SSR) is a Soviet, Belarusian and Russian mathematician. He is an expert in algebraic geometr…

Why does Vladimir Platonov matter?

Because it connects several astronomy 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 Vladimir Platonov?

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 Vladimir Platonov.

Tags

  • 1939 births
  • 20th-century Belarusian mathematicians
  • Academic staff of Belarusian State University
  • Academic staff of the University of Waterloo
  • Academicians of the Byelorussian SSR Academy of Sciences
  • Academicians of the National Academy of Sciences of Belarus
  • Belarusian State University alumni
  • Belarusian mathematicians
  • Foreign fellows of the Indian National Science Academy
  • Full Members of the Russian Academy of Sciences
  • Full Members of the USSR Academy of Sciences
  • Humboldt Research Award recipients

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