“Why should we care about infinity-categories?”
Martedì 11 Marzo 2025, ore 17:00 - Aula 2BC45 - Álvaro Sánchez (Phd Student at University of Murcia)
Abstract
Classically, mathematical theories are built on a strict notion of equality, and category theory provides a successful common language for those. Richer structures in modern mathematics (homotopy theory, representation theory, algebraic geometry) lead to more flexible notions of equivalence. Infinity-category theory capture these ideas by incorporating higher morphisms that witness identifications between identifications.
In this talk, I will introduce the key ideas behind infinity categories and conclude by sketching their role in my research in representation theory.
