Can group laws be learned using random walks?

Seminar

Speaker

Gil Goffer (University of California, San Diego)

Date

03/07/2024 - 11:30 - 10:30Add to Calendar 2024-07-03 10:30:00 2024-07-03 11:30:00 Can group laws be learned using random walks? In various cases, a law that holds in a group with high probability must actually hold for all elements. For instance, a finite group in which the commutator law [x,y]=1 holds with probability larger than 5/8 must be abelian. In the talk I’ll discuss a probabilistic approach to laws on infinite groups, using random walks, and present results, joint with Be’eri Greenfeld, answering a few questions of Amir, Blachar, Gerasimova, and Kozma. Third floor seminar room and Zoom אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public

Place

Third floor seminar room and Zoom

Abstract

In various cases, a law that holds in a group with high probability must actually hold for all elements. For instance, a finite group in which the commutator law [x,y]=1 holds with probability larger than 5/8 must be abelian. In the talk I’ll discuss a probabilistic approach to laws on infinite groups, using random walks, and present results, joint with Be’eri Greenfeld, answering a few questions of Amir, Blachar, Gerasimova, and Kozma.