吃瓜官网

From time immemorial, symmetry is crucial for the creation of various works of art (such as architecture, painting, music). It is natural for a person to perceive symmetrical objects as more harmonious and therefore more beautiful. In mathematics there are many more or less symmetrical objects. Since mathematics is an exact science, it certainly has an exact, mathematical definition of symmetry, and therefore there is a field that studies these symmetries. The branch of mathematics that studies symmetries is called group theory, and any mathematical group is a set of symmetries together with a set of natural properties. Thus, group theory in mathematics is the science that studies the objects which are used to measure beauty, and therefore group theory is the science of beauty.

It is difficult to come up with a branch of mathematics in which the group theory would not appear in one way or another: various puzzles (like tag or Rubik's cube type); polynomial roots; building tasks; various geometries and, in particular, the Poincare conjecture; mosaics, fractals and graphs; even the standard theory of elementary particles and the properties of the Higgs field 鈥� everywhere groups play a noticeable and sometimes a major role.

In this lecture we will discuss the essence of groups and try to perceive them through solving specific problems.

We will start on April 20 at 18:00. The seminar will be held on the Google Meet platform. Link to connect: