Title: Van Est theory

Speaker：Camilo Andres Angulo Santacruz

Location：Seminar Room 6, Mathematics Building, Jilin University

Abstract: Lie theory, understood as the relationship between global geometric structures and their corresponding infinitesimal counter-parts, has been a particularly useful and rich line of study. In 1986, van Est (1921-2002) published a novel proof of Lie’s third theorem, which he ascribed to Cartan (1869-1951) — the person who is credited with originally proving the theorem. Recall that Lie’s third theorem states that every Lie algebra has an integration, and is considered to be the most difficult of Lie’s theorems. In these talks, we will talk about integrate Lie 2-algebras to Lie 2-groups using Van Est theory.

Lecture Information

Introduction of the Reporter：Camilo Andres Angulo Santacruz is a post doctor from Universidade Federal Fluminense, Brazil. He mainly study Poisson geometry and higher structures.