# 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

### 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