Mathematical Conversations

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.