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Endre Szemerédi - The Abel Prize interview 2012

0:28 Early interest in mathematics 3:01 High schools in Hungary specializing in mathematics 4:38 Started studying mathematics at the age of 22 7:24 Professor Paul Turán inspired me to become a mathematician 8:57 Relationship between Paul Turán and Atle Selberg 9:24 Other influences and collaborators 10:47 Collaboration with Paul Erdős 12:39 Erdős is probably the greatest mathematician in posing important problems 13:40 Random methods, for instance? 16:13 Erdős and Random Graph Theory 17:34 Graduate work, Israel Gelfand, Alexander Gelfond and a spelling error 24:00 Graduate work continues 25:40 Communication between Gelfand and Gelfond 26:33 Why is Hungary producing so many great mathematicians? (János Bolyai, the Riesz brothers, Frigyes and Marcel; Lipót Fejér; Gábor Szego˝, Alfréd Haar; Tibor Radó; John von Neumann, Paul Turán; Paul Erdős; Alfréd Rényi; Raoul Bot, Peter Lax, Béla Bollobás and László Lovász) 31:26 The journal KöMaL has also been important for the development of Hungarian mathematics 35:08 On the Szemerédi theorem, the solution to Erdős-Turán conjecture 39:50 How did you get interested in the problem? 45:48 The Szemerédi theorem and Furstenberg’s multiple recurrence theorem 50:53 The ramifications of the Szemerédi theorem theorem 55:22 Szemerédi regularity theorem, random graphs and extremal graphs explained 58:39 Applications in theoretical computer science 59:41 Do you agree that the Szemerédi theorem is your greatest achievement? 1:03:02 It is said, tounge in cheek, that a typical combinatorialist is a bright mathematician with an aversion to learning or embracing abstract mathematics. Does this description fit you? 1:06:16 Combinatorics relation to the rest of mathematics 1:08:40 How did your key ideas arise. Working hard at your desk, or in more relaxed situations? 1:10:21 Fascination with soccer Read the full interview in Notices of the American Mathematical Society: https://www.ams.org/notices/201302/rn... The 2012 Abel Prize interview with Endre Szemerédi Interviewers: Mathematicians Martin Raussen og Christian Skau Produced by UniMedi