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

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

Curtis McMullen

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

Yves Meyer received the Abel Prize from H.M. King Harald

H.M. King Harald presented the Abel Prize to Yves Meyer of the École normale supérieure Paris-Saclay, France at an award ceremony in Oslo on 23 May. He receives the prize for his pivotal role in the development of the mathematical theory of wavelets, says John Rognes, chair of the Abel committee. Among the prominent guests attending the award  ceremony was the French ambassador to Norway, Jean-François Dobelle and the Norwegian Minister of Education and Research, Torbjørn Røe Isaksen.

(26.05.2017) More

Three days of celebration for Abel Laureate Yves Meyer

His Majesty King Harald will present the Abel Prize to Yves Meyer at an award ceremony in Oslo on 23 May. He receives the prize "for his pivotal role in the development of the mathematical theory of wavelets", to quote the Abel committee. Yves Meyer, of the École  normale supérieure Paris-Saclay, was the visionary leader in the modern development of this theory, at the intersection of mathematics, information technology and computational science.

(12.05.2017) More

The Abel lectures 2017

Abel Laureate Yves Meyer gave his prize lecture at the University of Oslo on the 24th of May, with following Abel lectures by Stéphane Mallat, Ingrid Daubechies og Emmanuel Jean Candès. Watch the lectures here.

(08.05.2017) More

Congratulations from AMS President

"On behalf of the American Mathematical Society, it is my great pleasure to congratulate Professor Yves Meyer, recipient of the 2017 Abel Prize.  Professor Meyer has been a visionary in a broad range of fields, including number theory and differential equations.  His fundamental work in the theory of wavelets has transformed the world of signal processing and has led to a myriad of practical applications."  -- AMS President Kenneth A. Ribet (University of California, Berkeley)
Photo: Jim Brook

 

(02.04.2017) More

Yves Meyer receives the Abel Prize

The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2017 to Yves Meyer (77) of the École normale supérieure Paris-Saclay, France “for his pivotal role in the development of the mathematical theory of wavelets”. The President of the Norwegian Academy of Science and Letters, Ole M. Sejersted, announced the winner of the 2017 Abel Prize at the Academy in Oslo today, 21 March.

Yves Meyer was the visionary leader in the modern development of this theory, at the intersection of mathematics, information technology and computational science. 

Wavelet analysis has been applied in a wide variety of arenas as diverse as applied and computational harmonic analysis, data compression, noise reduction, medical imaging, archiving, digital cinema, deconvolution of the Hubble space telescope images, and the recent LIGO detection of gravitational waves created by the collision of two black holes.

Yves Meyer will receive the Abel Prize from His Majesty King Harald V at an award ceremony in Oslo on 23 May.

The Abel Prize recognizes contributions of extraordinary depth and influence to the mathematical sciences and has been awarded annually since 2003. It carries a cash award of 6 million NOK (about 675,000 Euro or 715,000 USD). 

(21.03.2017) More
Det Norske Videnskaps-Akademi
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The Norwegian Academy of Science and Letters
Drammensveien 78
N-0271 Oslo, Norway
Telephone: + 47 22 84 15 00
Fax: + 47 22 12 10 99
E-mail: abelprisen@dnva.no
Web editor: Anne-Marie Astad
Design and technical solutions: Ravn Webveveriet AS