On September 30, at the Institute seminar the PhD of Humboldt University Ilmar Gahramanov gave the talk “Solution of Young-Baxter equation”. The talk deals with development related with integrable models, in particular exactly solvable cell models. In the talk, the Young-Baxter equation, star-triange relation and their properties was discussed. New solutions of Young-Baxter equation will be represented. The relations between Young-Baxter equation and other fields of mathematics was also considered.