семинар Алгебра и логика

На 9 юни 2023 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. Доклад на тема: Old and new aspects of the Poincaré-Birkhoff-Witt theorem ще изнесе Vladimir Dotsenko (Institute for Advanced Mathematical Research (IRMA), University of Strasbourg and CNRS, France). Абстракт. The Poincaré-Birkhoff-Witt theorem on universal enveloping algebras of Lie algebras is a fundamental result in many areas of mathematics: from differential geometry and representation theory to homological algebra and deformation quantization. I shall give a short overview of that result and some of its proofs that emerged in about 120 years since Poincaré published a paper about it, and outline a new proof which perhaps captures its category-theoretic essence in the best way possible. The talk [...]

На 16 юни 2023 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. Доклад на тема: Polynomial identities in Novikov algebras ще изнесе Nurlan Ismailov (Astana IT University and Suleyman Demirel University, Kaskelen, Kazakhstan) (Joint work with V. Dotsenko and U. Umirbaev). Абстракт.The talk is devoted to Novikov algebras satisfying nontrivial identities. We show that a Novikov algebra over a field of zero characteristic that satisfies a nontrivial identity satisfies some unexpected “universal” identities, in particular, right associator nilpotence, and right nilpotence of the commutator ideal. This, in particular, implies that a Novikov algebra over a field of zero characteristic satisfies a nontrivial identity if and only if it is Lie-solvable. We also establish that any system [...]

На 23 юни 2023 г. (петък) от 13:00 часа в зала 578 на ИМИ - БАН ще се проведе присъствено заседание на семинара по „Алгебра и логика”. Доклад на тема: Distinctness of the “Lifted” Kloosterman Sums over the Prime Field Fp ще изнесе Любомир Борисов. Абстракт   От секция „Алгебра и логика” на ИМИ – БАН http://www.math.bas.bg/algebra/seminarAiL/ ============================== =====================