# 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

### 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### Sir Vaughan F.R. Jones, outstanding mathematician and incoming member of the Abel committee, has passed away

(11.09.2020) More### The Honouring of the 2020 Abel Prize Laureates

All events in connection to the Abel Prize Week in May are cancelled due to the Corona pandemic. The 2020 Abel Prize Laureates Hillel Furstenberg and Gregory Margulis will be honoured, together with the Abel Prize Laureate(s) of 2021 during next year’s Abel Prize Ceremony, May 25 2021.

### Furstenberg and Margulis to share the Abel Prize

The Abel Prize for 2020 goes to Hillel Furstenberg, Hebrew University of Jerusalem, Israel and Gregory Margulis, Yale University, New Haven, CT, USA, for “pioneering the use of methods from probability and dynamics in group theory, number theory and combinatorics.”

(13.03.2020) More