Jinhe Je: The Lascar group as a fundamental group

jeudi 31 janv. 2019, 10:30 → 11:30 Europe/Paris

Salle 112 (Bâtiment Braconnier)

In this talk, we will discuss how the Lascar galois group of a first-order theory, T, can be naturally identified as the fundamental group of the classifying space associated to the category of models, Mod(T). We will then discuss some examples illustrating how tools from algebraic topology can be used to compute the Lascar group of a theory. We will also talk about generalizations to the context of AECs and questions concerning their higher homotopy. This is joint work with Tim Campion and Greg Cousins.