Top-level heading

On the discovery of non-sofic groups

Categoria: 
Seminari di Algebra e Geometria
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Sala di Consiglio
Sede: 

Dipartimento di Matematica, Sapienza Università di Roma

Speaker: 
Francesco Fournier-Facio (Cambridge)
Soficity is a property of groups generalising at once amenability and residual finiteness. It was introduced by Gromov and Weiss as a convenient class in which to establish many outstanding open questions in group theory. On 1 August 2026, OpenAI announced that they found the first example of a non-sofic group, the construction builds heavily on work of Kun from 2016 and Kun--Thom from 2019. I will do my best to recount this story.