BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Classifying 8-dimensional E-manifolds [MPIM]
DTSTART:20250520T090000Z
DTEND:20250520T100000Z
DTSTAMP:20260421T223800Z
UID:indico-event-430@math-events.uni-bonn.de
DESCRIPTION:Speakers: Csaba Nagy (MPIM)\n\nLow dimensional topology semina
 r\nA manifold M is called an E-manifold if it has homology only in even di
 mensions\, ie. $H_{2k+1}(M\;Z) = 0$ for all k. Examples include complex pr
 ojective spaces and complete intersections. We consider 8-dimensional simp
 ly-connected E-manifolds. Those that have Betti numbers $b_2 = r$ and $ b_
 4 = 0$\, and fixed second Stiefel-Whitney class $w_2 = w$ form a group $\\
 Theta(r\;w$)\, which acts on the set of E-manifolds with $b_2 = r$ and $w_
 2 = w$. The classification of E-manifolds based on this action consists of
  3 steps: computing $\\Theta(r\;w)$\, classifying the set of orbits and fi
 nding the stabilizers. I will present results for each of these steps\, as
  well as the special case of 3-connected 8-manifolds\, where a complete cl
 assification is obtained\, based on Wall's earlier results.\n\nhttps://mat
 h-events.uni-bonn.de/event/430/
LOCATION:MPIM\, Vivatsgasse\,  7 - Conference Room (Max Planck Institute f
 or Mathematics)
URL:https://math-events.uni-bonn.de/event/430/
END:VEVENT
END:VCALENDAR
