Sergio Chouhy

Degenerations of algebraic structures and a description of orbit closure.

Abstract:

Given a finite dimensional vector space over an algebraically closed field, the set of all associative algebra structures on it is an affine variety. This variety is divided into orbits which correspond to the isomorphism classes of associative algebras. In this talk I will discuss the degeneration relations on these varieties and give a description of them in terms of Gerstenhaber formal deformations. I will also show some examples and applications.