Minimax problems and results for sum of translates functions Автори: Bálint Farkas, Béla Nagy and Szilárd Révész, Alfréd Rényi Institute of Mathematics Дата: 06.06.2023 г. Час: 17:30 ч. Място: Зала 503 на ИМИ-БАН Резюме: We introduce a general framework to investigate minimax problems for sum of translates functions F(x,t)=\sum_k K(t-x_j) or F(x,t)=J(t)+\sum_k K(t-x_j), where K is a general concave "kernel function" and J is an "outer field" function, t runs [0,1], and x=(x_1,...,x_n) is a set of nodes which are used to translate the kernel. Our setup is very close to logarithmic potential theory, but fixing n and focusing on a more detailed analysis, we obtain new results even for very classical problems. Extending a method of P. Fenton, we reach considerable generality while proving precise [...]

На 07.06.2023 г. от 14:00 часа в зала 478 на ИМИ - БАН ще се проведе семинар по Приложения на диференциалните уравнения в науките с лектор академик Петър Попиванов на тема: Кратък обзор върху логаритмичното уравнение на Шрьодингер  Резюме Поканват се всички интересуващи се.

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 [...]