Explore the intricacies of the border-radius CSS property in this 47-minute conference talk by Lea Verou at CSS Day 2013. Dive into creating quarter ellipses, understand the reasoning behind the property's name, and discover the differences between inner and outer border-radius. Learn about animating border-radius, potential incompatibilities, and future developments. Gain insights into related gradient techniques and access valuable resources. The presentation includes interactive slides for a hands-on learning experience, concluding with a Q&A session to address audience queries.