The Concept of Holonomy - Its History and Recent Developments

Explore the fascinating concept of holonomy in this 58-minute AMS Retiring Presidential Address delivered by Robert L. Bryant from Duke University at the 2018 Joint Mathematics Meetings. Delve into the historical background and recent advancements in this field of mathematics. Learn about steering a cart, motion in 3 dimensions, configuration space, and self-duals. Discover the intricacies of whole anomie, Kaler metrics, and the Khalaby conjecture. Examine the connection between Kahalaby and physics, and investigate two exceptional cases. Gain valuable insights into this complex mathematical concept through Bryant's expert presentation.

Introduction
Welcome
Steering a cart
Position of cart
Motion in 3 dimensions
Holonomy
Configuration Space
SelfDuals
Whole Anomie
Kaler Metrics
Marcelo Burge
Bear J
Khalaby conjecture
Kahalaby and physics
Two exceptional cases
Two more slides
Conclusion