# Abel lectures at the University of Oslo

### The lectures will be streamed

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

*Videos from The Abel lectures are available below*

*Abel lecturers 2019: Matt Parker, Abel Laureate Karen Uhlenbeck, Chuu-LianTerng og Robert Bryant. Photo: Ola Gamst Sćther*

**Programme**

Welcome remarks from rector **Svein Střlen**, 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.

### 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.

### Lovász and Wigderson to share the Abel Prize

The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2021 to László Lovász of Alfréd Rényi Institute of Mathematics (ELKH, MTA Institute of Excellence) and Eötvös Loránd University in Budapest, Hungary, and Avi Wigderson of the Institute for Advanced Study, Princeton, USA,

“for their foundational contributions to theoretical computer science and discrete mathematics, and their leading role in shaping them into central fields of modern mathematics”

### The Honouring of the Abel Prize Laureates

Due to the uncertain development of the Covid-19 pandemic in Norway, all physical events are canceled. Instead, there will be three online events.

(07.04.2021) More### Announcement of the next Abel Prize laureate

The Abel Prize laureate for 2021 will be announced Wednesday March 17th at 12:00 (UTC/GMT+1).** **

### Isadore M. Singer, Abelprize laureate, dies at 96

Isadore M. Singer was the recipient together with Sir Michael Atiyah of the Abel Prize in 2004. They received the prize for their discovery and proof of the index theorem, one of the most significant discoveries in 20th century mathematics.

(12.02.2021) More