Workshop "Hilbert's Sixth Problem''

University of Leicester, May 02-04, 2016

David Hilbert in 1900s, artist Anna Gorban, the cover image of the theme issue ‘Hilbert's sixth problem, Phil. Trans. R. Soc. A 2018, 376 (2118).

 Hilbert's 6th problem concerns the axiomatization of those parts of physics which are ready for a rigorous mathematical

approach. D. Hilbert attracted special attention to the following aspects of this problem: (i) axiomatic treatment of probability with limit theorems for the foundation of statistical physics, and (ii) the rigorous theory of limiting processes "which lead from the atomistic view to the laws of motion of continua".

The original Hilbert's formulation (in English translation) was: "6. Mathematical Treatment of the Axioms of Physics. The investigations on the foundations of geometry suggest the problem: To treat in the same manner, by means of axioms, those physical sciences in which already today mathematics plays an important part; in the first rank are the theory of probabilities and mechanics." This is definitely "a programmatic call" ...(continued here)


Hilbert's 6th problem gives a unique framework for collaborations of multiscale analysis with other fields of the mathematical sciences, from probability, logic and abstract algebra to mathematical physics.

The main aims of the workshop are

1.    To facilitate interdisciplinary discussion across key mathematical and physical disciplines involved in solution of Hilbert's sixth problem about the state of the art.

2.    To synthetize an integral interdisciplinary point of view on Hilbert's sixth problem and renew the programmatic call in the light of the latest achievements.

3.    To provide guidance to early career researchers via an indication of future research directions in Hilbert's sixth problem.

4.    To disseminate the modern achievements and renewed programmatic call in a series of review publications.

The organizer

Alexander Gorban, Dept. of Mathematics, University of Leicester,


The Scientific Committee of the Workshop

Luigi Accardi, University of Roma Torvergata, Italy,

Alexander Bobylev, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia,

Pierre Degond, Chair Professor in Applied Mathematics, Imperial College London, UK,

Marshall Slemrod, University of Wisconsin, Madison, USA.

The Program

Opinions of Participants

Photo Gallery



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