# Soap Bubbles and Mathematics

Frank Morgan, Atwell Professor of Mathematics at Williams College, will give this year's Science Lecture titled "Soap Bubbles and Mathematics" at the University of Oslo on May 20th. Soap bubbles, with applications from cappuccino to universes, illustrate some fundamental questions in mathematics. The show will include some demonstrations.

The Science Lecture is one of three lectures given at the University of Oslo in connection with the Abel Prize week. The two other lecturers are **Camillo De Lellis**, University of Zürich and **Tristan Rivière**, ETH Zürich. There will also be speeches by the Abel Laureates **John F. Nash, Jr.,** Princeton University and **Louis Nirenberg**, Courant Institute, New York University.

### Abstracts Abel Lectures

- Camillo De Lellis, University of Zürich:
*Surely you're joking, Mr. Nash?*

Camillo De Lellis

Nash Equilibria, Nash functions, Nash manifolds, the Nash-Moser iteration, the Nash embedding theorems, the De Giorgi-Nash Theorem.

These names will remain in the history of science to testify to the extreme originality of a mathematician who has tackled and solved some of the hardest problems of contemporary mathematics, revolutionizing our understanding of entire subjects. The hope of this talk is to convey the sense of incredulity and marvel that generations of scholars have experienced while delving into his work.

- Tristan Rivière, ETH Zürich:
*Exploring the unknown, the work of Louis Nirenberg on Partial Differential Equations*

Partial differential equations are a central object in the mathematical modeling of natural and social sciences (sound propagation, heat diffusion, thermodynamics, electromagnetism, elasticity, fluid dynamics, quantum mechanics, population growth, finance...etc.). They were for a long time restricted only to the study of natural phenomena or questions pertaining to geometry, before becoming over the course of time, and especially in the last century, a field in itself.

The second half of the XXth century was the "golden age" of the exploration of Partial Differential Equations from a theoretical perspective.

The mathematical work of Louis Nirenberg since the 1940s has to a large extent contributed to the growth of this fundamental area of human knowledge. The name Nirenberg is associated to many of the milestones in the study of PDEs.

The award of the Abel Prize to Louis Nirenberg marks a special occasion for us to revisit the development of the field of PDEs and the work of one of the main actors of its exploration.

### 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