**Speaker:** Niamh Farrell (London)

**Title:** *Rationality of Blocks of Quasi-Simple Finite
Groups*

**Abstract:**

The Morita Frobenius number of an algebra is the number of Morita equivalence classes of its Frobenius twists. They were first introduced by Kessar in 2004 in the context of Donovan's conjecture. I will present results in ongoing work in which we aim to calculate the Morita Frobenius numbers of all blocks of group algebras of quasi-simple finite groups.