Дата: 17.10.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Михаил Школников, ИМИ - БАН Доклад: Tropical structures in sandpile model Резюме: The sandpile model is a cellular automaton that can be defined on any graph. Though it has appeared independently in a variety of contexts, it attracted tremendous attention from the wide scientific community when its instance on a large domain of the square lattice was put forward as the simplest rigorous example of self-organized criticality. Such phenomena, real-life examples of which are earthquakes, solar flares, or neuronal avalanches, could be vaguely described as being between order and chaos, demonstrating power laws without being finely tuned, and transcending the scale. Tropical geometry, on the other hand, is a field of pure mathematics [...]

На 10.10.2023 г. (вторник) от 14:00 часа в зала 403 на ИМИ ще се състои първата сбирка на семинара на МЦМН за 2023/2024 г. Доклад на тема: About a generalisation of Sylvester’s law of inertia ще изнесе Stéphanie Cupit-Foutou (Ruhr Universitat, Bohum). https://icms.bg/about-a-generalisation-of-sylvesters-law-of-inertia-talk-by-stephanie-cupit-foutou/ Резюме. Sylvester’s law of inertia can be formulated in terms of group actions when considering real linear groups acting on real quadratic forms by base change. After reviewing this celebrated result from this perspective, I will give a generalisation of it in the setting of so-called spherical varieties (a class of complex varieties including flag varieties, toric varieties, symmetric spaces, etc.). This is a joint work with D. Timashev

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