# 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 in Barcelona" with lecture by Louis Nirenberg

Institut d'Estudis Catalans will host the Abel in Barcelona-event on Monday the 16th of January. In connection with the final meeting of the Abel committee, whose task it is to select the Abel Prize Laureate for 2017, there will be an afternoon of lectures aimed at a broad mathematical audience. Louis Nirenberg, who shared the Abel Prize 2015 with John Nash, will give the first lecture. There will also be lectures by two of the Abel committee members, Luigi Ambrosio and Ben Green.

(04.01.2017) More### Sir Andrew J. Wiles received the Abel Prize from H.R.H. Crown Prince Haakon

Andrew Wiles received the 2016 Abel Prize from Norway's Crown Prince Haakon at an award ceremony in Oslo today, on 24 May. He receives the prize "for his stunning proof of Fermat's Last Theorem by way of the modularity conjecture for semistable elliptic curves, opening a new era in number theory", to quote the Abel Committee. The Abel Prize carries a cash award of 6 million NOK (about EUR 700,000 or USD 750,000) and has been awarded annually since 2003 by the Norwegian Academy of Science and Letters.

(24.05.2016) More### Congratulations from the AMS President

Robert Bryant, President of the American Mathematical Society (AMS), congratulates Sir Andrew Wiles with the 2016 Abel Prize.

(15.03.2016) More### Martin Bridson, Head of the Mathematical Institute, University of Oxford, about Sir Andrew Wiles

“No individual exemplifies the relentless pursuit of mathematical understanding in the service of mankind better than Sir Andrew Wiles. His dedication to solving problems that have defied mankind for centuries, and the stunning beauty of his solutions to these problems, provide a beacon to inspire and sustain everyone who wrestles with the fundamental challenges of mathematics and the world around us. His work will inspire mathematicians and scientists for centuries to come. We are immensely proud to have Andrew as a colleague at the Mathematical Institute in Oxford.

(14.03.2016) More### Sir Andrew J. Wiles receives the Abel Prize

The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2016 to Sir Andrew J. Wiles (62), University of Oxford, “for his stunning proof of Fermat’s Last Theorem by way of the modularity conjecture for semistable elliptic curves, opening a new era in number theory.”

The President of the Norwegian Academy of Science and Letters, Ole M. Sejersted, announced the winner of the 2016 Abel Prize at the Academy in Oslo today, 15 March. Andrew J. Wiles will receive the Abel Prize from H.R.H. Crown Prince Haakon at an award ceremony in Oslo on 24 May.

(14.03.2016) More