September 6 - 7, 2022

- Hilbert problems:
- 1st problem: Cantor's problem on the cardinal number of the continuum
- 2nd problem: The compatibility of the arithmetical axioms
- 3rd problem: The equality of the volumes of two tetrahedra of equal bases and equal altitudes
- 4th problem: The problem of the straight line as the shortest distance between two points
- 5th problem: Continuous group of transformations without the assumption of the differentiability of the functions defining the group
- 6th problem: Mathematical treatment of the axioms of physics
- 7th problem: Irrationality and transcendence of certain numbers
- 8th problem: Problems of prime numbers
- 9th problem: Proof of the most general law of reciprocity in any number field
- 10th problem: Determination of the solvability of a diophantine equation
- 11th problem: Quadratic forms with any algebraic numerical coefficients
- 12th problem: Extension of the kronecker theorem on abelian fields to any algebraic realm of rationality
- 13th problem: Impossibility of the solution of the general equation of the 7th degree by means of functions of only two variables
- 14th problem: Proof of the finiteness of certain complete systems of functions
- 15th problem: Rigorous foundation of schubert's enumerative calculus
- 16th problem: Problem of the topology of algebraic curves and surfaces
- 17th problem: Expression of definite forms by squares
- 18th problem: Building up of space from congruent polyhedral
- 19th problem: Analyticity of solutions of the regular problems in the calculus of variations
- 20th problem: The general problem of boundary values
- 21st problem: Proof of the existence of linear differential equations having a prescribed monodromy group
- 22nd problem: Uniformization of analytic relations by means of automorphic functions
- 23rd problem: Further development of the methods of the calculus of variations