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We will follow a historical overview on the solvability of the polynomial equations by radicals. Starting from the Mesopotamian mathematical culture, through vigorous growth of mathematics in Renaissance, work of Newton, Lagrange, Vandermonde. The talk will finish in the 19th century when first Abel and then Galois have shown that it is impossible to solve the quintic equation by using no operations other than addition, subtraction, multiplication, division, and the extraction of roots. An introduction to the Galois theory will be presented with emphasis on the algebraic (or polynomial equations) and the groups associated with them.
The seminar will be chaired by Václav Janiš, Department of Dielectrics.