Abstract:
Lecture 1 (Tuesday, 19th May, 13h-14h): Introduction to nonassociative algebras and basic definitions of evolution algebras. Structure of evolution algebras and examples. Algebraic properties of evolution algebras. Lecture 2 (Wednesday, 20th May,13-14h): Classification of low-dimensional evolution algebras and discussion of isomorphism classes with illustrative examples. Linear operators of evolution algebras, including derivations and automorphisms. Lecture 3 (Thursday, 21st May, 13h-14h): Introduction to Rota-Baxter operators on evolution algebras. A review of selected recent results.