Toni Kodzoman (Rudjer Boskovic Institute Zagreb)

In this talk I will summarize the main results of two of my works in a pedagogical manner, related to L-infinity algebras and non-commutativity, respectively. After going through some necessary notions and definitions, I will show that an L-infinity algebra can be extended to a graded Hopf algebra with a codifferential, after which I will discuss further uses and applications of this result. This will be followed by an explanation on how to include the notion of non-commutativity in the framework of Double Field Theory, which is a useful framework to describe the low energy-limit of the universal NS- NS sector of string theory.