# Abel Lectures at the University of Oslo

John Milnor gave his prize lecture at the University of Oslo. Curtis McMullen and Michael Hopkins were invited speakers. The aim of the Abel Lectures is to give a general audience a glimpse of the mathematics of the Abel Laureate and to convey to the general mathematician the importance and impact of his work. The Science Lecture was delivered by Etienne Ghys.

**Etienne Ghys: A guided tour of the seventh dimension**

One of the most amazing discoveries of John Milnor is an exotic sphere in dimension 7. For the layman, a sphere of dimension 7 may not only look exotic but even esoteric... It took a long time for mathematicians to gradually accept the existence of geometries in dimensions higher than 3. One may wonder how topologists can develop some intuition about these geometries. How can they work "in" these abstract worlds? In this talk, I'll describe some historical developments of higher dimensional geometries, starting of course with the fourth dimension. Then, I'll try to convey some intuition about high dimension. Finally, I want to present Milnor's 7 dimensional jewel, hoping to demystify it. I'll do my best to avoid any kind of sophisticated mathematical background.

**Curtis McMullen: Manifolds, topology and dynamics**

This talk will focus on two fields where Milnor's work has been especially influential: the classification of manifolds, and the theory of dynamical systems. To illustrate developments in these areas, we will describe how topological objects such as exotic spheres and strange attractors arise naturally in the classical world of algebraic varieties and polynomial maps.

**Michael Hopkins: Bernoulli numbers, homotopy groups, and Milnor**

In his address at the 1958 International Congress of Mathematicians Milnor described his joint work with Kervaire, relating Bernoulli numbers, homotopy groups, and the theory of manifolds. These ideas soon led them to one of the most remarkable formulas in mathematics, relating fundamental quantities from three different fields. This talk will describe this formula, and the many remarkable developments associated to each of its terms.

**Abel Lectutes and Science: Lecture Place: The University of Oslo **

**Time: 25th of May**

10.00 Welcome by Rector Ole Petter Ottersen, University of Oslo and Øyvind Østerud, President of the Norwegian Academy of Science and Letters

10.10 John Milnor, "Spheres"

11.00 Coffee break

11.30 Curtis McMullen, "Manifolds, topology and dynamics"

12:30 Lunch

13.30 Michael Hopkins, "Bernoulli numbers, homotopy groups, and Milnor"

14:15 Coffe break

14:30 Science Lecture: Etienne Ghys, "A guided tour of the seventh dimension"

15.15 Closing session

### Yakov G. Sinai gives lecture at "Abel in Pittsburgh"

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(05.11.2018) More### The Abel Symposium 2019

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(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”.

### Sir Michael Atiyah gives Abel lecture at ICM in Rio

Sir Michael Atiyah who receiced the Abel Prize in 2004, shared with Isadore Singer, will give the Abel Lecture at ICM in Rio on the 6th of August. He has titled the lecture: "The Future of Mathematical Physics: new ideas in old bottles". Atiyah will be introduced by Jacob Palis, former president of the International Mathematical Union and a member of the Abel Committee.

(26.07.2018) More