Topic: Synthetic homotopy theory: going beyond set-level mathematics
Speaker: Guillaume Brunerie
Affiliation: Member, School of Mathematics
Date & Time: Wednesday March 14th, 2018, 6:00pm - 7:00pm
Location: Dilworth Room
In addition to offering a formal system for doing ordinary (or "set-level") mathematics, Vladimir Voevodsky’s Univalent Foundations also suggest a new way of studying homotopy theory, called "synthetic homotopy theory". I will show how synthetic homotopy theory emerges from the foundations of mathematics, and contrast it with set-level homotopy theory.