Recent Developments in Invariant Theory

Invariant Theory is a branch of algebra that is more than 150 years old. During this period it came through several periods of rises and falls. Nowadays, it comes through the new period of vigorous development, flourishing again because of the deep, mutually fruitful connections with a number of disciplines (algebraic groups, Lie groups, algebraic geometry, commutative algebra, homological algebra, Galois theory, ring theory, combinatorics, coding theory) and famous mathematical problems (Hilbert's 14th and 13th problems). In fact, Invariant Theory gave birth to some of them (commutative algebra and homological algebra). The purpose of talk is to give a survey, intended for the nonspecialists, of the main streams and results of this theory, from the beginning to the present time.

Refreshments will be served in Math Annex Room 1115, 2:45 p.m.