# The Abel lectures 2016

Abel Laureate Sir Andrew Wiles will give his prize lecture at the University of Oslo on the 25th of May, followed by two Abel Lectures by Henri Darmon and Manjul Bhargava. Simon Singh will then give the popular lecture *From Fermat's Last Theorem to Homer's Last Theorem.*

**Program**

Coffee and tea is served from 9:30 outside Auditorium 1

10:00 - 10:10 Welcome by Rector of the University of Oslo, Ole Petter Ottersen, President of The Norwegian Academy of Science and Letters,

Ole M. Sejersted and Chair of the Abel Committee Professor

John Rognes

### 10:10 - 11.10

**Abel Laureate Sir Andrew Wiles***, University of Oxford:*

*Fermat's Last Theorem: abelian and non-abelian approaches.*

*Fermat's Last Theorem: abelian and non-abelian approaches.*

The successful approach to solving Fermat's problem reflects a move in number theory from abelian to non-abelian arithmetic.

### 11:10 - 12:10

**Professor Henri Darmon**, McGill University:

*Andrew Wiles' marvelous proof*

Pierre de Fermat famously claimed to have discovered "a truly marvelous proof" of his last theorem, which the margin in his copy of Diophantus' Arithmetica was too narrow to contain. Fermat's proof (if it ever existed!) is probably lost to posterity forever, while Andrew Wiles' proof has been part of the mathematical landscape for over two decades. This lecture will describe a few of the new ideas in this marvelous proof, and the remarkable impact they have had on number theory.

12:10 - 13:00

Lunch (requires registration online)

### 13:00 - 14:00

**Professor Manjul Bhargava**, Princeton University:

What is the Birch-Swinnerton-Dyer Conjecture, and what is known about it?

What is the Birch-Swinnerton-Dyer Conjecture, and what is known about it?

The Birch and Swinnerton-Dyer Conjecture has become one of the central problems of number theory and represents an important next frontier. The purpose of this lecture is to explain the problem in elementary terms, and to describe the implications of Andrew Wiles' groundbreaking work to the problem. It will also summarize what is known to date towards the conjecture - including several recent advances - and, finally, what remains to be done!

14.00 - 14:30 Coffee/tea

### 14:30 - 15:30

**Popular Lecture by Simon Singh**:

*From Fermat's Last Theorem to Homer's Last Theorem*

Simon Singh, author of a book and director of a film about Andrew Wiles and Fermat's Last Theorem, talks about how he turned a complex mathematical story into a bestselling book and an award-winning film. He will also talk about how Fermat's Last Theorem has made cameo appearances in TV shows, feature films, books and plays.

### Practical information

Georg Sverdrups Hus, University of Oslo

25 May 2016

10:00 - 15:35

### 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.

(14.05.2019) More### 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