Colloquium: Zuhovitsky Prize Lecture - Sobhi Massalha

Date: 
Thu, 27/06/202414:30-15:30
Location: 
Manchester Building, Hall 2

Title: Sentences over Random Groups

Abstract: The Tarski question states that the f.g. non-abelian free groups share the same first order theory. In 2006, Z. Sela answered it affirmatively. Hence, a natural question is to seek for groups that can or cannot be distinguished from the non-abelian free groups by a given first order sentence. We prove that almost all the (f.g.) groups are not so. Namely, we prove that a random group (in the Gromov density model, for any density d<.5), cannot be distinguished from the f.g. non-abelian free groups by a given (minimal rank) sentence, in overwhelming probability.

Livestream/Recording: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=9cc6b36f-63a9-4865-86a7-b194005b4c6e