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Prvních deset Abelových cen za matematiku

The first ten Abel Prizes for [English summary]

In: Michal Křížek (author); Lawrence Somer (author); Martin Markl (author); Oldřich Kowalski (author); Pavel Pudlák (author); Ivo Vrkoč (author); Hana Bílková (other): Prvních deset Abelových cen za matematiku. (English). Praha: Jednota českých matematiků a fyziků, 2013. pp. 87–88.

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This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz Summary The First Ten Abel Prizes for Mathematics

Michal Křížek, Lawrence Somer, Martin Markl, Oldřich Kowalski, Pavel Pudlák, Ivo Vrkoč

The for mathematics is an international prize presented by the King of Norway for outstanding results in mathematics. It is named after the Norwegian Niels Henrik Abel (1802–1829) who found that there is no explicit formula for the roots of a general polynomial of degree five. The financial support of the Abel Prize is comparable with the Nobel Prize, i.e., about one million American dollars.

Niels Henrik Abel (1802–1829)

M. Křížek a kol.: Prvních deset Abelových cen za matematiku, JČMF, Praha, 2013 87 Already in 1899, another famous Norwegian mathematician Sophus Lie proposed to establish an Abel Prize, when he learned that Alfred Nobel would not include a prize in mathematics among his five proposed Nobel Prizes. The first Nobel Prize for Physics was awarded in 1901 to Wilhelm Conrad Röntgen. Therefore, there was an attempt to organize the Abel Prize in 1902 to commemorate 100 years of Abel’s birth, but it was unsuccessful. One hundred years later the Norwegian government announced that the prize would be awarded in 2002 for the two-hundredth anniversary of Abel’s birth. However, the first laureate got the Abel Prize one year later. It is awarded by the Norwegian Academy of Sciences and Letters. In this essay we survey the major results of the recipients of the first ten Abel Prizes. Each chapter contains a short biographical sketch of a particular laureate and his contribution to various fields of mathematics:

1. Jean-Pierre Serre (2003) – topology, algebraic , and number theory

2. and Isador Singer (2004) – topology, geometry, and analysis

3. (2005) – numerical and applied mathematics

4. (2006) – and dynamical systems

5. Srinivasa Varadhan (2007) – theory of probability and statistics

6. John G. Thompson and (2008) – algebra and theory of groups

7. Michail L. Gromov (2009) – differential geometry

8. (2010) – algebraic number theory

9. (2011) – differential topology, geometry, and algebra

10. Endre Szemerédi (2012) – discrete mathematics and theoretical computer science

88 M. Křížek a kol.: Prvních deset Abelových cen za matematiku, JČMF, Praha, 2013