BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The taut spectrum and the Eilenberg-Ganea problem - Luis Jorge San
 chez Saldana (UNAM)
DTSTART:20211015T124500Z
DTEND:20211015T134500Z
UID:TALK162481@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:A well-known open problem in group theory is the existence of 
 a group with cohomological dimension 2 and geometric dimension 3\, known a
 s the Eilenberg-Ganea problem. For relative versions of this problem there
  are examples of groups with relative cohomological dimension 2 and relati
 ve geometric dimension 3 due to the work of several authors. We call the a
 forementioned groups relative Eilenberg-Ganea groups. On the other hand\, 
 in geometric group theory\, it is usual to try to classify groups up to qu
 asi-isometry. In this talk we will explore roughly how many non quasi-isom
 etric groups are among the class of relative Eilenberg-Ganea groups. Expli
 citly\, using a quasi-isometry invariant introduced by Bowditch\, called t
 he Taut spectrum\, we will sketch how to prove that there are continuously
  many non-quasi-isometric groups with proper (resp. virtually cyclic) coho
 mological dimension 2 and proper (resp. virtually cyclic) geometric dimens
 ion 3.  This is joint work with Eduardo Martínez-Pedroza.
LOCATION:Zoom https://maths-cam-ac-uk.zoom.us/j/95208706709
END:VEVENT
END:VCALENDAR