Abel Lectures at the University of Oslo

Abel Laureate Pierre Deligne will give his prize lecture at the University of Oslo. This will be followed by Abel Lectures by leading mathematicians Nicholas Katz and Claire Voisin. Ravi Vaki will give the popular science lecture.

 

Obligatorisk!

Pierre Deligne:

Hidden symmetries of algebraic varieties

 

 


Abstract:
If a complex algebraic variety is defined by equations with rational coefficients, the set of its points whose coordinates are in Obligatorisk! that is are algebraic numbers, carries an action of the Galois group Gal (Obligatorisk! / Obligatorisk!), the symmetry group of Obligatorisk! .  This, and related symmetries, have a strong influence on the topology of complex algebraic varieties, and a mysterious connection with Hodge theory.

 

 

Obligatorisk!

Nicholas Katz

Princeton University:

Life Over Finite Fields

Abstract:
We will discuss some of Deligne's work and its diophantine applications.

 

 

 

Obligatorisk!

Professor Claire Voisin

École Polytechnique and CNRS

Mixed Hodge structures and the topology of algebraic varieties

Abstract:
Deligne proved that the cohomology of a complex algebraic variety carries a functorial "mixed Hodge structure",  which generalizes the previously known results for smooth projective complex varieties. Formal properties of morphisms of Mixed Hodge structures then allowed him to deduce a number of important consequences, including the "theorem of the fixed part".  I will describe these fundamental results, and some applications to the study of Hodge classes.

 

Obligatorisk!

Science Lecture:

Ravi Vakil

Stanford University

Algebraic geometry and the ongoing unification of mathematics

Abstract:
When we look carefully at nature, we can discover surprising coincidences, which suggest deeper underlying structure.   The centrality of mathematics comes in part from the fact that seemingly unrelated ideas are often unified by some grand theory, which is far more powerful than the sum of its parts.  Mathematics is most exciting when different ideas come together unexpectedly to give a new point of view.  This is typified in algebraic geometry, and in the work of Deligne in particular, which brings together many themes in mathematics, including geometry, number, shape (topology), algebra, and more.  This magic is the reason I became an algebraic geometer.  For example, the theory of Pythagorean triples (such as 3² + 4² = 5² ) connects geometry to the theory of numbers by way of algebra.  This ancient example grows up to be the Weil conjectures, a wondrous prediction whose proof was finally completed by Deligne. 

I will try to share a glimpse of this strange unification of many different ideas.  This talk is aimed at a general audience, and no particular background will be assumed.

 

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
Drammensveien 78
N-0271 Oslo
Telefon: +47 22 84 15 00
Telefaks: +47 22 12 10 99
E-post: abelprisen@dnva.no
 
Nettredaktør: Anne-Marie Astad
Design og teknisk løsning: Ravn Webveveriet AS
 
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