# Limits, Bubbles, and Singularities: An introduction to the fundamental ideas of Karen Uhlenbeck. The 2019 Abel Prize Ceremony Lectures. Norwegian Academy of Science and Letters. May 22, 2019 - May 22, 2019

Keynote/Named Lecture

This was a lecture during the Abel Prize Week that introduced a lay audience to the work of Karen Uhlenbeck, the 2019 Abel Prize Recipient. Abstract: Ever since the Greeks, the challenges of understanding limits and infinities have fascinated us, ultimately leading to the development of calculus and much of modern mathematics. When does a limit exist and in what sense? How do we capture these notions in geometric and intuitive ways? Professor Uhlenbeck's work provides fundamental ideas for how to interpret situations in which one would like to take a limit of a set of geometric objects and interpret the result in useful ways. I will try to give a sense of what the challenges are and how Uhlenbeck's ideas provide answers to questions that mathematicians and physicists have been asking for many years. At the end, I will give a sense of how influential her work has been and continues to be.

### Service Performed By

- Bryant, Robert Phillip Griffiths Professor of Mathematics

### Date

- May 22, 2019

### Service or Event Name

- The 2019 Abel Prize Ceremony Lectures

### Host Organization

- Norwegian Academy of Science and Letters

### Location or Venue

- University of Oslo