Boris Bychkov (Higher School of Economics) will give a lecture on "Symmetric polynomials" for 1st and 2nd year students and school students.

The lecture will take place on November 21, 2018, at 17:30.

Venue: 8/10 Kirova st. (2nd building of YarSU), aud. 202.

Abstract: A polynomial in several variables is called symmetric if it is invariant with respect to any permutations of variables. The main theorem on symmetric polynomials asserts that any symmetric polynomial can be expressed in terms of elementary ones, and in a unique way. We shall obtain several more such sets of polynomials, and then we shall define Schur polynomials, a basis in the space of symmetric polynomials, parametrised by partitions (Young diagrams), and will discuss some interesting properties of this basis.