# The Abel lectures 2018

Abel Laureate Robert Langlands gave his prize lecture titled "*On the geometric theory" *at the University of Oslo on the 23th of May. John Rognes, chair of the Abel committee, introduced Langlands to an almost full auditorium. Langlands' lecture was followed by two others talks, by Jim Arthur and Edward Frenkel. Watch the lectures live

### Program

Welcome by Rector of the University of Oslo, **Svein Stølen**, The Norwegian Academy of Science and Letters, **Ole M. Sejersted**, and Chair of the Abel Committee, **John Rognes **

### 11.00 - **Robert Langlands***,* Institute for Advanced Study, Princeton:

**On the geometric theory**

*,*

13.00** - James Arthur,** University of Toronto:

**The Langlands program: arithmetic, geometry and analysis**

**James Arthur** is a professor of mathematics at the University of Toronto. In 1970 he received his PhD at Yale University, where his advisor was Robert Langlands. He is considered as one of the few leading mathematicians in the central fields of representation theory and automorphic forms, and an excellent teacher.

**As the Abel Prize citation points out, the Langlands program represents a grand unified theory of mathematics. we shall try to explain in elementary terms what this means. We shall describe an age old question concerning the arithmetic prime numbers, together with a profound generalization of the problem that lies at the heart of algebraic geometry. We shall then discuss the tenets of the Langlands program that resolve these questions in terms of harmonic analysis. Finally, we shall say something of Langlands' many fundamental contributions to the program, with the understanding that there is still much to be done.**

Abstract:

Abstract:

### 14.30** - Edward Frenkel,** UC Berkeley:

**Langlands Program and Unification**

**Langlands Program and Unification**

**Edward Frenkel** is a professor of mathematics at UC Berkeley. He is the author of the bestselling book "Love and Math", and is a well-known lecturer. "Love and Math" is the first account of the Langlands Program for a general audience in a book form. Frenkel has also published joint papers on different aspects of the Langlands Program with both Langlands and Witten.

**Abstract:** Sophia Kovalevskaya wrote, "It is not possible to be a mathematician without being a poet at heart. A poet should see what others can't see, see deeper than others. And that's the job of a mathematician as well." The work of Robert Langlands sets a great example for this maxim, as it is marked by originality, imagination, and penetrating insights. At the core of the Langlands Program is the idea of unification: uncovering deep connections between areas of mathematics that at first glance seem far apart, such as number theory, analysis, geometry, and even quantum physics. These links enable us to find order in apparent chaos, and they also point to something rich and mysterious lurking beneath the surface, giving us glimpses of hidden structures underlying modern mathematics.

### Practical information

### 23 May 2018

11:00 - 15:30

Georg Sverdrups Hus, University of Oslo

### Live streams

### Live stream - The Abel lectures

23. Mai, 11.00 - 15.30

### Live stream - The Abel Prize Award Ceremony

22. Mai, kl. 14.00 | 12.00 noon GMT

### Sir Michael Atiyah, Abel Prize laureate, dies at 89

Atiyah was the recipient together with Isadore Singer of the Abel Prize in 2004, and he also received the Fields Medal, the American Philosophical Society’s Benjamin Franklin Medal, among many other honors. He was the former President of the Royal Society and of the Royal Society of Edinburgh. Atiyah was most recently an Honorary Professor in the School of Mathematics at the University of Edinburgh. Sir Michael, working at Cambridge University before he retired, made outstanding contributions to geometry and topology.

(14.01.2019) More### Yakov G. Sinai gives lecture at "Abel in Pittsburgh"

The Department of Mathematical Sciences at Carnegie Mellon University is hosting the "Abel in Pittsburgh" conference where Yakov G. Sinai who received the Abel Prize in 2014 is one of the speakers. The conference is organized by professor and member of the Abel commitee Irene Fonseca and will take place on the 11th of January 2019. "Abel in Pittsburgh" will be the 9th edition of a one-day conference with lectures aimed at a mathematically educated and interested audience, with the objective of increasing public awareness.

(05.11.2018) More### The Abel Symposium 2019

Abel Symposium 2019 will take place at Scandic Parken Hotel Ålesund, 23-29 June 2019. The title of the symposium is: Geometry, Lie Theory and Applications.

(02.11.2018) More### Who will be the next Abel Laureate?

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### Record turnout for Atiyah’s Abel Lecture at ICM in Rio

1250 mathematicians from all over the world filled the big conference hall in Rio de Janeiro on Monday the 6^{th} of August to listen to Sir Michael Atiyah’s Abel Lecture, “The Future of Mathematical Physics: New ideas in old bottles”.