Във вторник, 06.06.2023 г., от 15:00 часа в зала 403 ще състои поредната сбирка на колоквиума на Международния център за математически науки. Доклад на тема: Arc spaces and partition identities ще изнесе Hussein Mourtada (Institut de Mathématiques de Jussieu-Paris Rive Gauche). Абстракт

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 [...]