|Topic:||Synthetic homotopy theory: going beyond set-level mathematics|
|Affiliation:||Member, School of Mathematics|
|Date:||Wednesday, March 14|
|Time/Room:||6:00pm - 7:00pm/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.