8th Croatian Mathematical Congress

Session

Mixed block

DG and ME/HM

3 Jul 2024, 11:05

D6 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

Conveners

Mixed block

• Dragutin Svrtan

134. On the life and work of Stjepan Bohniček

Anđa Valent (Zagreb University of Applied Sciences)

03/07/2024, 11:05

ME/HM: Mathematics Education and History of Mathematics

Talk

In this talk, we will present some previously unknown information on the life and work of prominent Croatian mathematician Stjepan Bohniček (Vinkovci, 1872 – Zagreb, 1956), corresponding member of the Croatian Academy of Sciences and Arts and the first Croatian expert in the field of number theory. Bohniček studied reciprocity laws, Diophantine equations and quadratic forms. His results on...

92. Geodesics and translation curves in $Sol_{0}^{4}$ space

Zlatko Erjavec (University of Zagreb Faculty of organization and informatics)

03/07/2024, 11:25

DG: Differential Geometry and Applications

Talk

A translation curve in a Thurston space is a curve such that for given unit vector at the origin, translation of this vector is tangent to the curve in every point of the curve. In most Thurston spaces translation curves coincide with geodesic lines. However, this does not hold for Thurston spaces equipped with twisted product. In these spaces translation curves seem more intuitive and simpler...

173. Geometry of point particles. Symbolic computer verification of the Atiyah's Conjecture for five points in the Euclidean plane

Dragutin Svrtan

03/07/2024, 11:45

DG: Differential Geometry and Applications

Talk

In 2001 Sir M. F. Atiyah formulated a conjecture $C1$ and later with P.Sutcliffe two stronger conjectures $C2$ and $C3$. These conjectures, inspired by physics (spin-statistics theorem of quantum mechanics), are geometrically defined for any configuration of $n$ points in the Euclidean three space. The conjecture $C1$ is proved for $n = 3$ in [1] and for $n=4$ in [2], and $C1-C3$ in [3]....