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(1)

Martin Grötschel ƒ Institut für Mathematik, Technische Universität Berlin (TUB)

ƒ DFG-Forschungszentrum MATHEON “Mathematik für Schlüsseltechnologien”

ƒ Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB) groetschel@zib.de http://www.zib.de/groetschel

CARL FRIEDRICH GAUSS PRIZE FOR APPLICATIONS OF

MATHEMATICS

First Award

Opening Ceremony, ICM 2006, Madrid, Spain

August 22, 2006

(2)

Martin Grötschel

2

CARL FRIEDRICH GAUSS PRIZE

FOR APPLICATIONS OF MATHEMATICS

From the Statutes

:

The IMU

Carl Friedrich Gauss Prize

for applications of mathematics is to be awarded for outstanding

ƒ mathematical contributions that have found significant practical applications outside of mathematics, or

ƒ achievements that made the application of mathematical methods to areas outside of mathematics possible in an innovative way, e.g., via new modelling techniques or the design and implementation of algorithms.

(3)

Martin

CARL FRIEDRICH GAUSS PRIZE

FOR APPLICATIONS OF MATHEMATICS

From the Statutes

:

ƒ The

Carl Friedrich Gauss Prize

is given, in particular, for the impact the work of the prize winner has had in practice.

ƒ Since the practical usefulness of mathematical results is often not immediately visible and since the applicability and importance for practice may only be realized after a long time lag, no age limit should restrict the choice of a prize winner.

(4)

Martin Grötschel 4

Why is the prize called Gauss Prize?

Gauss curve

geodesy/land survey

least squares

prediction of the reappearance

of the asteroid Ceres

1840 painted by Christian Albrecht Jensen

magnetism 1 Gauss = unit of the magnetic field

(5)

Martin

CARL FRIEDRICH GAUSS PRIZE

FOR APPLICATIONS OF MATHEMATICS

From the Statutes

:

ƒ The

Carl Friedrich Gauss Prize

is given, in particular, for the impact the work of the prize winner has had in practice.

ƒ Since the practical usefulness of mathematical results is often not immediately visible and since the applicability and importance for practice may only be realized after a long time lag, no age limit should restrict the choice of a prize winner.

About 30 highly deserving colleagues from all areas of mathematics, pure and applied, have been suggested for this award.

(6)

Martin Grötschel

6

CARL FRIEDRICH GAUSS PRIZE

FOR APPLICATIONS OF MATHEMATICS

From the Statutes

:

ƒ The International Mathematical Union appoints a Carl Friedrich Gauss Prize Committee in analogy to its other Prize Committees. The Carl Friedrich Gauss Prize

Committee reports its choice to the IMU president.

(7)

Martin

The Gauss Prize Committee

ƒ Robert E. Bixby (USA)

ƒ Frank den Hollander (The Netherlands)

ƒ Martin Grötschel (Germany, chair)

ƒ Stephane Mallat (France)

ƒ Ian Sloan (Australia)

appointed by the IMU Executive Committee.

(8)

The Medal

Gauss Prize medal

designed by Jan Arnold

Ceres

least squares

(9)

Martin

The Winner

The International Mathematical Union (IMU) and the Deutsche Mathematiker-Vereinigung (DMV) jointly award the

Carl Friedrich Gauss Prize for Applications of Mathematics to Professor Dr. Kiyoshi Itô

for laying the foundations of the Theory of Stochastic Differential Equations and Stochastic Analysis. Itô’s work has emerged as one of the major

mathematical innovations of the 20th century and has found a wide range of applications outside of mathematics. Itô calculus has become a key tool in areas such as engineering (e.g., filtering, stability, and control in the

presence of noise), physics (e.g., turbulence and conformal field theory), and biology (e.g., population dynamics). It is at present of particular

importance in economics and finance with option pricing as a prime example.

Madrid, August 22, 2006

Sir John Ball Günter M. Ziegler

President of IMU President of DMV

(10)

Martin Grötschel

10

The Gauss Prize to K. Itô:

applications outside of mathematics

ƒ engineering: e.g., filtering, stability, and control in the presence of noise

ƒ physics: e.g., turbulence and conformal field theory

ƒ biology: e.g., population dynamics

ƒ economics: e.g., option pricing

Further applications and details will be reported in the

ƒ Gauss Prize Lecture

by Hans Föllmer (Humboldt University Berlin) Wednesday, August 23, 2006, 14:00 – 14:45 lecture room A

(11)

Martin

Kiyoshi Itô

(12)

Martin Grötschel 12

Kiyoshi Itô 1942

(13)

Martin

Kiyoshi Itô 1954

(14)

Martin Grötschel 14

Kiyoshi Itô 1978

(15)

Martin

Kiyoshi Itô 1995

(16)

Martin Grötschel 16

Kiyoshi Itô 2005

(17)

Martin

Kiyoshi Itô 2006

For health reasons, Prof. Itô is unfortunately unable to be present at this award ceremony.

The IMU President Sir John Ball

will personally take the Gauss Medal to Kyoto after ICM 2006 and

present it to Prof. Itô at a special ceremony.

(18)

Martin Grötschel 18

Kiyoshi Itô’s wife and 3 daughters

1954 1976

(19)

Martin

Kiyoshi Itô’s daughter Junko

Junko Itô

Professor and Chair, Linguistics University of California

Santa Cruz, CA USA

will accept the Gauss Prize on behalf of her father.

(20)

Martin Grötschel

20

Kiyoshi Itô

Professor Emeritus, Kyoto University

Winner of the 2006

Carl Friedrich Gauss

Prize for Applications

of Mathematics

参照

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