# Abel lectures at the University of Oslo

### The lectures will be streamed

Karen Uhlenbeck will give her Abel Prize lecture on the 22nd of May at the University of Oslo. Chuu-LianTerng and Robert Bryant will give lectures that are related to Uhlenbeck's work. The popular science lecture will be given by stand-up mathematician Matt Parker.

*Videos from The Abel lectures will be availiable shortly*

**Programme**

Coffee and tea will be served from 9.30 am outside Auditorium 1, Georg Sverdrups Hpuse

Welcome remarks from rector **Svein Stølen**, University of Oslo, ** Hans Petter Graver**, President of the Norwegian Academy of Science and Letters and

**, chair of the Abel committee.**

**Hans Munthe-Kaas**### 10.10 am - **Karen Keskulla Uhlenbeck***,* University of Texas, Austin:

*,*

**The Abel lecture**

### 11.00 am **- ****Chuu-LianTerng, **UC Irvine

**Solitons in Geometry:**

**Summary:**

A soliton is a solitary wave that resists dispersion, maintaining its shape while propagating at a constant speed. Solitons were seen first as water waves in a shallow channel, and lately in the motion of a wave envelopes in optical fibers. They also occur in the study of pseudo-spherical surfaces in 3-space. The theory of solitons has been an active research area for more than fifty years, inspired by many applications in mathematical physics, optical communications, algebraic geometry, differential geometry, and more.

This lecture will first give a history of solitons, then explain Uhlenbeck's contributions to soliton theory and integrable systems. She gave a simple and unified geometric framework to explain the symmetries and remarkable properties of soliton equations and showed us how to use techniques from soliton theory to study many globalgeometric problems.

### 1 pm** - Robert Bryant, **Duke University:

**Limits, Bubbles, and Singularities: An introduction to the fundamental ideas of Karen Uhlenbeck**

**Limits, Bubbles, and Singularities: An introduction to the fundamental ideas of Karen Uhlenbeck**

**Summary:**

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.

Matt Parker

### 1.50** pm - ****Matt Parker**, Standup Mathematician:

**Matt Parker**,

**Popular lecture: An Attempt to Visualise Minimal Surfaces and Maximum Dimensions**

**Popular lecture: An Attempt to Visualise Minimal Surfaces and Maximum Dimensions**

**Summary:**

Much of Karen Uhlenbeck ground-breaking work involved abstract mathematical concepts which are beyond our normal human intuition. And even though there may be practical applications of the results of her work, that does not make minimal surfaces in higher dimensions any less esoteric. Matt Parker will attempt to provide visual demonstrations of both minimal surfaces and higher dimensions (although, probably not at the same time) to allow a small glimpse into the scope of Uhlenbeck's work and achievements.

### Abel Prize celebrations in Oslo

#### Karen Uhlenbeck received the Abel Prize from H.M. King Harald V

His Majesty King Harald V presented the 2019 Abel Prize to Karen Uhlenbeck at an award ceremony in the University Aula in Oslo on the 21st of May. Uhlenbeck is "Professor Emerita of Mathematics and Sid W. Richardson Regents Chair at the University of Texas at Austin" and "Visitor in the School of Mathematics at the Institute for Advanced Study".

(17.05.2019) More### Karen Uhlenbeck first woman to win the Abel Prize

The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2019 to Karen Keskulla Uhlenbeck of the University of Texas at Austin, USA “for her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.”

His Majesty King Harald V will present the Abel Prize to the laureate at the award ceremony in Oslo on the 21^{st} of May.

### Congratulations to Karen Uhlenbeck from University of Texas at Austin

"At the University of Texas at Austin and the Department of Mathematics, we are delighted and tremendously proud of Karen Uhlenbeck, recipient of the 2019 Abel Prize" - Thomas Chen, Chair of the University of Texas at Austin Math Department

(19.03.2019) More### Congratulations to Karen Uhlenbeck from AMS President

"On behalf of the American Mathematical Society, it is my great pleasure to congratulate Professor Karen Uhlenbeck, recipient of the 2019 Abel Prize. Professor Uhlenbeck has made legendary advances in several fields of mathematics. Her early groundbreaking work on harmonic maps gave rise to a new field, geometric analysis. Her analysis via gauge theory of solutions of Yang-Mills equations, had and will continue to have a profound influence on all future work in this field. She transformed the fields of geometry and analysis, crossing boundaries and making deep discoveries at the interfaces." AMS President Jill Pipher

(19.03.2019) More### President of the Academy announces Abel Prize winner

The President of the Norwegian Academy of Science and Letters, Hans Petter Graver (photo), will announce the winner of the 2019 Abel Prize at the Academy on March 19. The Academy's choice of laureate is based on the Abel Committee's recommendation. The chair of the Abel Committee, Hans Munthe-Kaas, will give the reasons for the awarding of the prize. The popular science presentation of the prize winner's work will be given by Jim Al-Khalili - a British physicist, author and broadcaster. He will also talk to the prize winner to get his/her immediate response to the news of being awarded the Abel Prize.

(08.03.2019) More