BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Strongly verbally closed groups [Geometric Group Theory Obersemina
 r]
DTSTART:20250122T100000Z
DTEND:20250122T110000Z
DTSTAMP:20260420T153700Z
UID:indico-event-214@math-events.uni-bonn.de
DESCRIPTION:Speakers: Filipp Denissov (Universität Bonn)\n\nA subgroup H 
 of a group G is called verbally closed\, if any splitted equation over H\,
  having solutions in G\, has a solution in H. It is called algebraically c
 losed\, if any finite system of equations over H\, having solutions in G\,
  has a solution in H. It is difficult to verify these properties\, but th
 ey often turn out to be equivalent. \nA group H is called strongly verbal
 ly closed\, if it is an algebraically closed subgroup in any group contain
 ing H as a verbally closed subgroup. \nThe class of strongly verbally clo
 sed groups is fairly wide. It includes all acylindrically hyperbolic group
 s\, with no nontrivial finite normal subgroups (as showed by Bogopolski)\
 , all finite groups with non-abelian monoliths (as showed by Klyachko\, M
 iroshnichenko\, and Olshanskii)\, and many other groups. Among non-strongl
 y-verbally-closed groups are non-abelian braid groups\, and SL_2n (Z) (as 
 showed by Denissov and Klyachko).\nThe purpose of the talk is to cover kno
 wn results concerning strongly verbally closed groups.\n\nhttps://math-eve
 nts.uni-bonn.de/event/214/
LOCATION:Endenicher Allee 60/0-003 - Seminarraum (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/214/
END:VEVENT
END:VCALENDAR