Florian Enescu
Georgia State University, USA

The talk with discuss the existence of Frobenius actions on the injective hull of the residue field of a local ring and the related concept of Frobenius complexity. The concept puts in perspective the twisted construction on a graded ring in prime characteristic, a general construction which brings to light a number of combinatorial properties related to the generation of this algebra over its zero degree piece. I will discuss the major developments in this area of research and highlight some current open questions. Some of the work presented is joint with Yongwei Yao.