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How can the Poincaré conjecture (Poincaré-Perelman theorem) be explained using a bug and a soccer ball? What does the equation of a three-dimensional sphere look like and how is it similar to the space around us? And how many people on the planet can understand this proof of the Poincaré-Perelman theorem? In this video, Alexey Savvateev, mathematician and mathematical economist, Doctor of Physical and Mathematical Sciences, Scientific Director of the Caucasus Mathematical Center of ASU, Professor of the Moscow Institute of Physics and Technology, Leading Researcher of the Central Economics and Mathematics Institute of the Russian Academy of Sciences, Corresponding Member of the Russian Academy of Sciences, popularizer of mathematics among children and adults, explains in simple terms what the Poincaré conjecture is, what it consists of and whether we live on the surface of a four-dimensional ball. Thanks to Alina Morozova for editing. Alexey Savvateev's channel "Matkult-privet!": / Matkultprivet Playlist "Alexey Savvateev": • Alexey Savvateev (Lectures) Playlist "Lectures on Mathematics": • Lectures on Mathematics Friends, if you like what we do and want to see more new materials, we will be grateful for your support! ???? on Sponsr: https://sponsr.ru/naukapro on Boosty: https://boosty.to/naukapro in VK: https://vk.com/donut/nauka_pro_rnd Sberbank card No. 2202 2036 9290 2523 with the note "SciencePRO" YuMoney (YandexMoney): money.yandex.ru/to/4100117089795259 Subscribe to our pages on other resources! ???????? https://vk.com/nauka_pro_rnd https://dzen.ru/naukapro https://ok.ru/naukapro https://rutube.ru/u/naukapro https://t.me/naukaproo #SciencePRO #Savvateev #AlexeySavvateev #mathematics #Mathematicsisjust #Mathculturehello #Mathculture #science #scientificeducation #sciencepop