Families

Explore the intricacies of mathematical families in this 54-minute lecture delivered by Autumn E. Kent from the University of Wisconsin, Madison, as part of the Spectra Lavender Lecture series at the Virtual 2022 Joint Mathematics Meetings. Delve into a diverse range of mathematical concepts, starting with an introduction to asteroids and parallelograms before progressing to more complex topics such as technical spaces and plonkery. Examine the hyperbolic metric and its deformations, then venture into higher dimensions and hyperbolic manifolds. Investigate finite volume concepts, Dane filling techniques, and conclude with an exploration of infinite volume. This comprehensive talk offers a fascinating journey through various mathematical families, providing insights into their interconnections and applications.

Introduction
Asteroids
Parallelogram
Technical Space
Plonkery
Hyperbolic Metric
Deformation
Higher Dimensions
Hyperbolic Manifolds
Finite Volume
Dane Filling
Infinite Volume