BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Finite permutation groups: applications to transformation semigrou
 ps and synchronization - Peter Cameron (University of St Andrews\; Queen M
 ary University of London)
DTSTART:20200110T140000Z
DTEND:20200110T150000Z
UID:TALK136579@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:For the last 10 years\, I have been working with Jo&atilde\;o 
 Ara&uacute\;jo and others on exploring how our new understanding of finite
  permutation groups can be used to advance the theory of finite transforma
 tion semigroups. In particular\, I will talk about regularity and idempote
 nt generation of semigroups\, and synchronizing automata. The pioneering w
 ork had been done by semigroup theorists assuming that the transformation 
 semigroup contains the symmetric or alternating group\; but this assumptio
 n can be substantially weakened in many cases. (The first such result was 
 a classification of the permutation groups G with the property that\, for 
 any non-permutation t\, the semigroup generated by G and t is (von Neumann
 ) regular. I will mention many open problems in this area.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR