Search results for "Hilbert's problems"
showing 3 items of 3 documents
Historical Events in the Background of Hilbert’s Seventh Paris Problem
2015
David Hilbert’s lecture, “Mathematical Problems,” [Hilbert 1900] delivered in Paris in 1900 at the Second International Congress of Mathematicians, has long been recognized as marking a milestone in the history of mathematics. Certainly for Hilbert himself, this marked the single greatest event and a true turning point in his storied career. When historians and mathematicians have written about the so-called Hilbert problems, they have usually looked forward into the twentieth century, sometimes by viewing their resolution as markers for mathematical progress.
Large-x Analysis of an Operator-Valued Riemann–Hilbert Problem
2015
International audience; The purpose of this paper is to push forward the theory of operator-valued Riemann-Hilbert problems and demonstrate their effectiveness in respect to the implementation of a non-linear steepest descent method a la Deift-Zhou. In this paper, we demonstrate that the operator-valued Riemann-Hilbert problem arising in the characterization of so-called c-shifted integrable integral operators allows one to extract the large-x asymptotics of the Fredholm determinant associated with such operators.
On the Background to Hilbert’s Paris Lecture “Mathematical Problems”
2018
Much has been written about the famous lecture on “Mathematical Problems” (Hilbert 1901) that David Hilbert delivered at the Second International Congress of Mathematicians, which took place in Paris during the summer of 1900 (Alexandrov 1979; Browder 1976). Not that the event itself evoked such great interest, nor have many writers paid particularly close attention to what Hilbert had to say on that occasion. What mattered – both for the text and the larger context – came afterward. Mathematicians remember ICM II and Hilbert’s role in it for just one reason: this was the occasion when he unveiled a famous list of 23 problems, a challenge to those who wished to make names for themselves in …