Speaker: Florian Enescu 
Title: Lower bounds for Hilbert-Kunz multiplicities



Abstract: We will present various lower bounds for Hilbert-Kunz multiplicities of
 local rings in terms of numerical invariants such as Hilbert-Samuel multiplicities,
 type, embedding dimension.

We will discuss the implications of these bounds of the conjecture that the Hilbert-Kunz 
mulplicity of a local non-regular ring is bounded by below by a number strictly
 greater than 1 depending only on the dimension of the ring. This joint work with
 Ian M. Aberbach.