Специальные бор - зоммерфельдовы лагранжевы подмногообразия алгебраических многообразий

Н. А. Тюрин

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August 13, 2026

‘Working with AI Solves a Wide Range of Engineering Problems

Artificial intelligence is a working tool based on a balanced combination of algorithms and engineering. Experts and doctoral students from the HSE Moscow Institute of Electronics and Mathematics explain how AI technologies can improve an application, device, or system, and what engineering tasks are solved in the process.

August 12, 2026

‘I Would Like My Research to Help Make the World a Calmer and Better Place

Whatever task Saraa Ali, Junior Research Fellow at the Laboratory of Methods for Big Data Analysis (LAMBDA) of the AI and Digital Science Institute (HSE Faculty of Computer Science), is working on, she thinks about how it can benefit people. She told the Young Scientists of HSE University project about her large family, diagnosing three-phase motors, and her dream of building a children’s home in her native country.

August 11, 2026

‘The Peak of Stupidity and ‘The Valley of Despair: HSE Economists Propose an Explanation for the Dunning–Kruger Effect

The Dunning–Kruger effect, which describes a sharp surge in self-confidence among beginners followed by an equally rapid decline as they gain experience, can be explained by the nature of the learning process and the acquisition of new knowledge. This conclusion was reached by Andrey Vorchik of the HSE Faculty of Economic Sciences together with independent researcher Murat Mamyshev. They developed a mathematical model of learning and demonstrated how subjective confidence is formed and changes as knowledge accumulates, as well as how teachers can reduce the ‘valley of despair’ experienced by learners.

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Publications

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Специальные бор - зоммерфельдовы лагранжевы подмногообразия алгебраических многообразий

С. 100–104.

Tyurin N. A.

Language: Russian

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Keywords: лагранжевы подмногообразия

In book

V школа-конференция по алгебраической геометрии и комплексному анализу для молодых математиков России

Математический институт им. В. А. Стеклова РАН, 2015.

Lagrangian embeddings of the Klein bottle and combinatorial properties of mapping class groups

V. V. Shevchishin, Izvestiya. Mathematics 2009 Vol. 73 No. 4 P. 797–859

In this paper we prove the non-existence of Lagrangian embeddings of the Klein bottle K in R4 and CP2. We exploit the existence of a special embedding of K in a symplectic Lefschetz pencil pr:X→S2 and study its monodromy. As the main technical tool, we develop the combinatorial theory of mapping class groups. The results ...

Added: March 18, 2013

Псевдоторические структуры на торических симплектических многообразиях

Белев С. А., Tyurin N. A., Теоретическая и математическая физика 2013 Т. 175 № 2 С. 147–158

We prove the existence of a rank-one pseudotoric structure on an arbitrary smooth toric symplectic manifold. As a consequence, we propose a method for constructing Chekanov-type nonstandard Lagrangian tori on arbitrary toric manifolds. ...

Added: February 18, 2013