This conference held a special significance as it commemorated the 150th anniversary of the birth of Josip Plemelj, the founding figure in Slovenian mathematics. The inaugural segment of the conference was dedicated to Plemelj, featuring talks by Prof. Milan Hladnik, Prof. Franc Forstnerič, and Assoc. Prof. Željko Oset.

Noteworthy lectures included

• Professor Josip Plemelj - the Life Story of an Extraordinary Man by Dr. Boštjan Kuzman,
• Professor Plemelj and Solving Hilbert's 21st Problem by Prof. Milan Hladnik, and
• Intellectual Network of Dr. Josip Plemelj by Assoc. Prof. Željko Oset.

The opening session of the Plemelj mini-symposium featured addresses from Prof. Peter Štih, the president of SASA, Prof. Gregor Majdič, UL rector, and Mr. Anton Mežan, the mayor of Bled.

The conference also spotlighted recent significant achievements in Slovenian mathematics and showcased the work of promising young researchers. Furthermore, the event presented advancements in various mathematical domains, including applied mathematics. The pedagogical aspect featured presentations on professional topics related to teaching mathematics and physics, totaling 16 contributions in the research application section and 17 in the pedagogical section.

Researchers from UP IAM and UP FAMNIT, including Dr. Nino Bašić, Dr. Karla Ferjančič, Dr. Nastja Cepak, Prof. Štefko Miklavič, and Prof. Vito Vitrih, actively participated in the conference.

All the papers presented at the conference will be published in the official conference proceedings.