Measure Growth in Compact Simple Lie Groups - Yifan Jing
Автор: Institute for Advanced Study
Загружено: 2022-11-09
Просмотров: 1042
Описание:
Special Year Research Seminar
Topic: Measure Growth in Compact Simple Lie Groups
Speaker: Yifan Jing
Affiliation: University of Oxford
Date: November 08, 2022
The celebrated product theorem says if A is a generating subset of a finite simple group of Lie type G, then |AAA| \gg \min \{ |A|^{1+c}, |G| \}. In this talk, I will show that a similar phenomenon appears in the continuous setting: If A is a subset of a compact simple Lie group G, then \mu(AAA) greater than \min \{ (3+c)\mu(A), 1 \}, where \mu is the normalized Haar measure on G. I will also talk about how to use this result to solve the Kemperman Inverse Problem, and discuss what will happen when G has high dimension or when G is non-compact.
Повторяем попытку...
Доступные форматы для скачивания:
Скачать видео
-
Информация по загрузке:
