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SUMMARY:Configuration Spaces of Graphs - Daniel Lütgehetmann (FU Berlin)
DTSTART:20170210T150000Z
DTEND:20170210T160000Z
UID:TALK69270@talks.cam.ac.uk
CONTACT:36916
DESCRIPTION:The configuration space of a finite number of particles in a t
 opological space is an object of interest in many areas of mathematics\, i
 n particular if the ambient space is a manifold. While the geometry of con
 figuration spaces of manifolds is understood quite well\, the case of part
 icles in general simplicial complexes remains rather mysterious\, even for
  1-dimensional complexes. In this talk\, I will describe an efficient comb
 inatorial model for configurations of particles in a finite graph\, which 
 was first defined by Jacek Światkowski. Afterwards\, I will sketch the o
 ther techniques we used to prove torsion-freeness and representation stabi
 lity of those configuration spaces' homology.
LOCATION:MR5
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