Tuesday, October 24, 14:00, 7.527.
Degenerations of algebraic structures and a description of
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.