International Conference on Hilbert Problems and their Solutions ICHPS on October 21-22, 2025 in London, United Kingdom

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