BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Matthew Kahle\, Topology Seminar\, "Topology of Random 2-dimen
 sional Q-acyclic Complexes"
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20261012T064816Z
UID:tag:localist.com\,2008:EventInstance_50595903101427
DTSTART:20250926T190000Z
DTEND:20250926T200000Z
DESCRIPTION:Abstract: A Q-acyclic complex is a higher-dimensional analogue 
 of a tree. We study a natural model of random 2-dimensional Q-acyclic comp
 lex\, following earlier enumerative work of Kalai and probabilistic work o
 f Lyons. We are especially interested in the expected topological properti
 es. We show that\, asymptotically almost surely\, a random 2-dimensional Q
 -acyclic complex is aspherical\, i.e. has a contractible universal cover. 
 We also show that the torsion in homology grows exponentially fast in the 
 number of faces\, and that the fundamental group is hyperbolic in the sens
 e of Gromov. We will also discuss some open problems. In particular\, the 
 fundamental group of a random 2-dimensional Q-acyclic complex seems to be 
 a candidate for a one-ended hyperbolic group without surface subgroups. Th
 is talk is based on joint work with Andrew Newman.
GEO:43.125256;-77.632002
LOCATION:Hylan Building\, 1106A
SUMMARY:Matthew Kahle\, Topology Seminar\, "Topology of Random 2-dimensiona
 l Q-acyclic Complexes"
URL;VALUE=URI:https://events.rochester.edu/event/topology-of-random-2-dimen
 sional-q-acyclic-complexes
CATEGORIES:Lectures & Talks
END:VEVENT
END:VCALENDAR