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The lecture took place as part of the second science popularization festival Milmax Science Kazan 2022 in April at the National Library of the Republic of Tatarstan. (Kazan) Lecture moderator - Daya Bekirova Milmax VK group: https://vk.com/milmax_production Milmax YouTube: / milmaxproduction Time codes from Alex Tomilov (THANKS TO HIM!!!): 2:00 Poincaré conjecture (Poincaré-Perelman theorem) 30:40 Riemann hypothesis 48:10 P/NP 56:10 Birch-Swinnerton-Dyer conjecture 59:05 Hodge conjecture ???? Support the popularization of mathematics: https://savvateev.xyz/donate.html Our resources: Telegram channel about education problems: https://t.me/alexei_savvateev For volunteers to save the school: [email protected] Website: https://роднаяшкола.рф/, tag: #роднаяшкола https://vk.com/alexei_savvateev / aleksey_savvateev / savvatan https://savvateev.livejournal.com https://savvateev.xyz https://t.me/savvateev_xyz