# 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

### President of the Academy announces Abel Prize winner

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The Abel Committee has embarked on the long journey in search of the next Abel Laureate. The committee which consists of five distinguished mathematicians has had its first meeting at the Norwegian Academy of Science and Letters in Oslo the 2nd and 3rd of October. The next meeting will take place in Pittsburgh, Pennsylvania early next year.

(03.10.2018) More