UNION OF BULGARIAN MATHEMATICIANS

INSTITUTE OF MATHEMATICS AND INFORMATICS, BULGARIAN ACADEMY OF SCIENCES

NATIONAL MATHEMATICS COLLOQUIUM

The next meeting of the National Mathematics Colloquium will be held on November 20, 2025 (Wednesday) at 4:15 pm EET (UTC +2) in the Conference Room of IMI – BAS.

A talk on:

Birkhoff Interpolation Problem: Some Old and New Results

will be delivered by Prof. Geno Nikolov,
Faculty of Mathematics and Informatics, Sofia University.

Abstract. In 1906 George David Birkhoff formulated a general interpolation problem for algebraic polynomials (hereafter called BIP). BIP is defined in terms of incidence matrices and encompasses as particular cases the classical Lagrange and Hermite interpolation problems. In contrast with the classical cases, the general BIP is not always solvable. Despite studied by many authors, the problem of characterization of the regular incidence matrices (i.e., incidence matrices for which BIP admits a unique solution) remains still open.

In my talk I will present some recent results about some classes of regular incidence matrices and will recall some less known earlier results pertaining to BIP.

Everybody is invited.