Create: 2025-04-20 Update: 2025-07-09 11:23:13

Семинар Добрушинской лаборатории

Когда: вторник 22 апреля, 16:15
Где: Адм. корпус, ауд.322.

Доклад:

Андроник Арутюнов (МФТИ, ИПУ РАН),
"Грубая геометрия и функции на графах"

Грубая геометрия оформилась как самостоятельный раздел в работах Джона Роу, Михаила Громова, Гаоляна Ю и других ученых. Она позволяет рассматривать пространства, игнорируя локальные особенности и учитывая только крупномасштабную структуру и инварианты. Наиболее показательный пример это, пожалуй, грубая эквивалентность $\mathbb{R}$ и $\mathbb{Z}$ со стандартными метриками. Другой естественный пример грубой эквивалентности - между группой (со словарной метрикой) и её графом Кэли. В своем докладе я расскажу об основных понятиях грубой геометрии и некоторых возникающих грубых инвариантов (число концов, метрическая связность и др.). Затем перейду к описанию приложений грубой геометрии к исследованию дифференцирований в групповых алгебрах, которые могут быть описаны как стабилизирующиеся функции на графах, ассоциированных с группоидом присоединённого действия.

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Страницы семинара:
https://sites.google.com/view/dobr-seminar
https://www.mathnet.ru/conf167

Адрес: МФТИ, Административный корпус, ауд. 322,
Первомайская ул. д.7, Долгопрудный.
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Семинар Добрушинской лаборатории

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